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Finding the Fourth Proportional to 976.77, 1,461.87 and 838.71

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Solution

The fourth proportional to 976.77, 1,461.87 and 838.71 is: 1,255.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.77 : 1,461.87 = 838.71 : x
  2. Step 2: Convert to fraction form
    976.77/1,461.87 = 838.71/x
  3. Step 3: Cross multiply
    976.77x = 1,461.87 × 838.71
  4. Step 4: Simplify right side
    976.77x = 1,226,084.99
  5. Step 5: Solve for x
    x = 1,226,084.99/976.77
  6. Step 6: Final answer
    x = 1,255.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.