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Finding the Fourth Proportional to 920.07, 1,380.09 and 432.78

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Solution

The fourth proportional to 920.07, 1,380.09 and 432.78 is: 649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.07 : 1,380.09 = 432.78 : x
  2. Step 2: Convert to fraction form
    920.07/1,380.09 = 432.78/x
  3. Step 3: Cross multiply
    920.07x = 1,380.09 × 432.78
  4. Step 4: Simplify right side
    920.07x = 597,275.35
  5. Step 5: Solve for x
    x = 597,275.35/920.07
  6. Step 6: Final answer
    x = 649.16

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.