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Finding the Fourth Proportional to 461.67, 688.82 and 400.92

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Solution

The fourth proportional to 461.67, 688.82 and 400.92 is: 598.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.67 : 688.82 = 400.92 : x
  2. Step 2: Convert to fraction form
    461.67/688.82 = 400.92/x
  3. Step 3: Cross multiply
    461.67x = 688.82 × 400.92
  4. Step 4: Simplify right side
    461.67x = 276,159.71
  5. Step 5: Solve for x
    x = 276,159.71/461.67
  6. Step 6: Final answer
    x = 598.18

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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.