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Finding the Fourth Proportional to 630.18, 864.54 and 542.70

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Solution

The fourth proportional to 630.18, 864.54 and 542.70 is: 744.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.18 : 864.54 = 542.70 : x
  2. Step 2: Convert to fraction form
    630.18/864.54 = 542.70/x
  3. Step 3: Cross multiply
    630.18x = 864.54 × 542.70
  4. Step 4: Simplify right side
    630.18x = 469,185.86
  5. Step 5: Solve for x
    x = 469,185.86/630.18
  6. Step 6: Final answer
    x = 744.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.