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Finding the Fourth Proportional to 954.97, 1,432.24 and 427.93

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Solution

The fourth proportional to 954.97, 1,432.24 and 427.93 is: 641.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.97 : 1,432.24 = 427.93 : x
  2. Step 2: Convert to fraction form
    954.97/1,432.24 = 427.93/x
  3. Step 3: Cross multiply
    954.97x = 1,432.24 × 427.93
  4. Step 4: Simplify right side
    954.97x = 612,898.46
  5. Step 5: Solve for x
    x = 612,898.46/954.97
  6. Step 6: Final answer
    x = 641.80

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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.