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Finding the Fourth Proportional to 782.19, 1,078.18 and 616.14

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Solution

The fourth proportional to 782.19, 1,078.18 and 616.14 is: 849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.19 : 1,078.18 = 616.14 : x
  2. Step 2: Convert to fraction form
    782.19/1,078.18 = 616.14/x
  3. Step 3: Cross multiply
    782.19x = 1,078.18 × 616.14
  4. Step 4: Simplify right side
    782.19x = 664,309.83
  5. Step 5: Solve for x
    x = 664,309.83/782.19
  6. Step 6: Final answer
    x = 849.29

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Half scale
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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.