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Finding the Fourth Proportional to 782.16, 1,171.20 and 456.72

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Solution

The fourth proportional to 782.16, 1,171.20 and 456.72 is: 683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.16 : 1,171.20 = 456.72 : x
  2. Step 2: Convert to fraction form
    782.16/1,171.20 = 456.72/x
  3. Step 3: Cross multiply
    782.16x = 1,171.20 × 456.72
  4. Step 4: Simplify right side
    782.16x = 534,910.46
  5. Step 5: Solve for x
    x = 534,910.46/782.16
  6. Step 6: Final answer
    x = 683.89

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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.