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Finding the Fourth Proportional to 781.45, 1,078.38 and 432.13

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Solution

The fourth proportional to 781.45, 1,078.38 and 432.13 is: 596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.45 : 1,078.38 = 432.13 : x
  2. Step 2: Convert to fraction form
    781.45/1,078.38 = 432.13/x
  3. Step 3: Cross multiply
    781.45x = 1,078.38 × 432.13
  4. Step 4: Simplify right side
    781.45x = 465,994.96
  5. Step 5: Solve for x
    x = 465,994.96/781.45
  6. Step 6: Final answer
    x = 596.32

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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.