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Finding the Fourth Proportional to 1,804.76, 2,490.57 and 976.76

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Solution

The fourth proportional to 1,804.76, 2,490.57 and 976.76 is: 1,347.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.76 : 2,490.57 = 976.76 : x
  2. Step 2: Convert to fraction form
    1,804.76/2,490.57 = 976.76/x
  3. Step 3: Cross multiply
    1,804.76x = 2,490.57 × 976.76
  4. Step 4: Simplify right side
    1,804.76x = 2,432,682.38
  5. Step 5: Solve for x
    x = 2,432,682.38/1,804.76
  6. Step 6: Final answer
    x = 1,347.93

Related Problems

Find fourth proportional to 902.38, 1,245.28 and 488.38
Half scale
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Double scale
Find fourth proportional to 1,805.76, 2,491.95 and 977.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.