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Finding the Fourth Proportional to 781.46, 1,078.19 and 445.37

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Solution

The fourth proportional to 781.46, 1,078.19 and 445.37 is: 614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.46 : 1,078.19 = 445.37 : x
  2. Step 2: Convert to fraction form
    781.46/1,078.19 = 445.37/x
  3. Step 3: Cross multiply
    781.46x = 1,078.19 × 445.37
  4. Step 4: Simplify right side
    781.46x = 480,187.53
  5. Step 5: Solve for x
    x = 480,187.53/781.46
  6. Step 6: Final answer
    x = 614.48

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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.