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Finding the Fourth Proportional to 976.76, 1,465.13 and 246.33

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Solution

The fourth proportional to 976.76, 1,465.13 and 246.33 is: 369.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.76 : 1,465.13 = 246.33 : x
  2. Step 2: Convert to fraction form
    976.76/1,465.13 = 246.33/x
  3. Step 3: Cross multiply
    976.76x = 1,465.13 × 246.33
  4. Step 4: Simplify right side
    976.76x = 360,904.24
  5. Step 5: Solve for x
    x = 360,904.24/976.76
  6. Step 6: Final answer
    x = 369.49

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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.