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Finding the Fourth Proportional to 685.10, 1,026.42 and 392.58

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Solution

The fourth proportional to 685.10, 1,026.42 and 392.58 is: 588.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.10 : 1,026.42 = 392.58 : x
  2. Step 2: Convert to fraction form
    685.10/1,026.42 = 392.58/x
  3. Step 3: Cross multiply
    685.10x = 1,026.42 × 392.58
  4. Step 4: Simplify right side
    685.10x = 402,951.96
  5. Step 5: Solve for x
    x = 402,951.96/685.10
  6. Step 6: Final answer
    x = 588.17

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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.