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Finding the Fourth Proportional to 951.07, 1,425.93 and 642.16

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Solution

The fourth proportional to 951.07, 1,425.93 and 642.16 is: 962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.07 : 1,425.93 = 642.16 : x
  2. Step 2: Convert to fraction form
    951.07/1,425.93 = 642.16/x
  3. Step 3: Cross multiply
    951.07x = 1,425.93 × 642.16
  4. Step 4: Simplify right side
    951.07x = 915,668.43
  5. Step 5: Solve for x
    x = 915,668.43/951.07
  6. Step 6: Final answer
    x = 962.77

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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.