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Finding the Fourth Proportional to 402.98, 601.14 and 397.70

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Solution

The fourth proportional to 402.98, 601.14 and 397.70 is: 593.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.98 : 601.14 = 397.70 : x
  2. Step 2: Convert to fraction form
    402.98/601.14 = 397.70/x
  3. Step 3: Cross multiply
    402.98x = 601.14 × 397.70
  4. Step 4: Simplify right side
    402.98x = 239,074.14
  5. Step 5: Solve for x
    x = 239,074.14/402.98
  6. Step 6: Final answer
    x = 593.26

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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.