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Finding the Fourth Proportional to 954.34, 1,428.95 and 542.86

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Solution

The fourth proportional to 954.34, 1,428.95 and 542.86 is: 812.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.34 : 1,428.95 = 542.86 : x
  2. Step 2: Convert to fraction form
    954.34/1,428.95 = 542.86/x
  3. Step 3: Cross multiply
    954.34x = 1,428.95 × 542.86
  4. Step 4: Simplify right side
    954.34x = 775,719.80
  5. Step 5: Solve for x
    x = 775,719.80/954.34
  6. Step 6: Final answer
    x = 812.83

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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.