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Finding the Fourth Proportional to 954.13, 1,429.82 and 542.39

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Solution

The fourth proportional to 954.13, 1,429.82 and 542.39 is: 812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.13 : 1,429.82 = 542.39 : x
  2. Step 2: Convert to fraction form
    954.13/1,429.82 = 542.39/x
  3. Step 3: Cross multiply
    954.13x = 1,429.82 × 542.39
  4. Step 4: Simplify right side
    954.13x = 775,525.00
  5. Step 5: Solve for x
    x = 775,525.00/954.13
  6. Step 6: Final answer
    x = 812.81

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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.