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Finding the Fourth Proportional to 487.76, 729.80 and 461.38

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Solution

The fourth proportional to 487.76, 729.80 and 461.38 is: 690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.76 : 729.80 = 461.38 : x
  2. Step 2: Convert to fraction form
    487.76/729.80 = 461.38/x
  3. Step 3: Cross multiply
    487.76x = 729.80 × 461.38
  4. Step 4: Simplify right side
    487.76x = 336,715.12
  5. Step 5: Solve for x
    x = 336,715.12/487.76
  6. Step 6: Final answer
    x = 690.34

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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.