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Finding the Fourth Proportional to 461.31, 688.29 and 415.19

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Solution

The fourth proportional to 461.31, 688.29 and 415.19 is: 619.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.31 : 688.29 = 415.19 : x
  2. Step 2: Convert to fraction form
    461.31/688.29 = 415.19/x
  3. Step 3: Cross multiply
    461.31x = 688.29 × 415.19
  4. Step 4: Simplify right side
    461.31x = 285,767.68
  5. Step 5: Solve for x
    x = 285,767.68/461.31
  6. Step 6: Final answer
    x = 619.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.