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Finding the Fourth Proportional to 601.97, 902.13 and 542.03

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Solution

The fourth proportional to 601.97, 902.13 and 542.03 is: 812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.97 : 902.13 = 542.03 : x
  2. Step 2: Convert to fraction form
    601.97/902.13 = 542.03/x
  3. Step 3: Cross multiply
    601.97x = 902.13 × 542.03
  4. Step 4: Simplify right side
    601.97x = 488,981.52
  5. Step 5: Solve for x
    x = 488,981.52/601.97
  6. Step 6: Final answer
    x = 812.30

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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.