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Finding the Fourth Proportional to 952.60, 1,429.72 and 542.56

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Solution

The fourth proportional to 952.60, 1,429.72 and 542.56 is: 814.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.60 : 1,429.72 = 542.56 : x
  2. Step 2: Convert to fraction form
    952.60/1,429.72 = 542.56/x
  3. Step 3: Cross multiply
    952.60x = 1,429.72 × 542.56
  4. Step 4: Simplify right side
    952.60x = 775,708.88
  5. Step 5: Solve for x
    x = 775,708.88/952.60
  6. Step 6: Final answer
    x = 814.31

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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.