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Finding the Fourth Proportional to 461.28, 688.55 and 406.61

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Solution

The fourth proportional to 461.28, 688.55 and 406.61 is: 606.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.28 : 688.55 = 406.61 : x
  2. Step 2: Convert to fraction form
    461.28/688.55 = 406.61/x
  3. Step 3: Cross multiply
    461.28x = 688.55 × 406.61
  4. Step 4: Simplify right side
    461.28x = 279,965.84
  5. Step 5: Solve for x
    x = 279,965.84/461.28
  6. Step 6: Final answer
    x = 606.93

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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.