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Finding the Fourth Proportional to 631.22, 870.42 and 542.98

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Solution

The fourth proportional to 631.22, 870.42 and 542.98 is: 748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.22 : 870.42 = 542.98 : x
  2. Step 2: Convert to fraction form
    631.22/870.42 = 542.98/x
  3. Step 3: Cross multiply
    631.22x = 870.42 × 542.98
  4. Step 4: Simplify right side
    631.22x = 472,619.80
  5. Step 5: Solve for x
    x = 472,619.80/631.22
  6. Step 6: Final answer
    x = 748.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.