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Finding the Fourth Proportional to 957.92, 1,437.96 and 568.76

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Solution

The fourth proportional to 957.92, 1,437.96 and 568.76 is: 853.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.92 : 1,437.96 = 568.76 : x
  2. Step 2: Convert to fraction form
    957.92/1,437.96 = 568.76/x
  3. Step 3: Cross multiply
    957.92x = 1,437.96 × 568.76
  4. Step 4: Simplify right side
    957.92x = 817,854.13
  5. Step 5: Solve for x
    x = 817,854.13/957.92
  6. Step 6: Final answer
    x = 853.78

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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.