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Finding the Fourth Proportional to 782.30, 1,079.52 and 699.14

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Solution

The fourth proportional to 782.30, 1,079.52 and 699.14 is: 964.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.30 : 1,079.52 = 699.14 : x
  2. Step 2: Convert to fraction form
    782.30/1,079.52 = 699.14/x
  3. Step 3: Cross multiply
    782.30x = 1,079.52 × 699.14
  4. Step 4: Simplify right side
    782.30x = 754,735.61
  5. Step 5: Solve for x
    x = 754,735.61/782.30
  6. Step 6: Final answer
    x = 964.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.