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Finding the Fourth Proportional to 461.30, 688.85 and 400.58

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Solution

The fourth proportional to 461.30, 688.85 and 400.58 is: 598.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.30 : 688.85 = 400.58 : x
  2. Step 2: Convert to fraction form
    461.30/688.85 = 400.58/x
  3. Step 3: Cross multiply
    461.30x = 688.85 × 400.58
  4. Step 4: Simplify right side
    461.30x = 275,937.53
  5. Step 5: Solve for x
    x = 275,937.53/461.30
  6. Step 6: Final answer
    x = 598.17

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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.