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Finding the Fourth Proportional to 782.92, 1,080.30 and 472.42

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Solution

The fourth proportional to 782.92, 1,080.30 and 472.42 is: 651.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.92 : 1,080.30 = 472.42 : x
  2. Step 2: Convert to fraction form
    782.92/1,080.30 = 472.42/x
  3. Step 3: Cross multiply
    782.92x = 1,080.30 × 472.42
  4. Step 4: Simplify right side
    782.92x = 510,355.33
  5. Step 5: Solve for x
    x = 510,355.33/782.92
  6. Step 6: Final answer
    x = 651.86

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Double scale
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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.