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Finding the Fourth Proportional to 928.13, 1,280.90 and 578.75

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Solution

The fourth proportional to 928.13, 1,280.90 and 578.75 is: 798.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.13 : 1,280.90 = 578.75 : x
  2. Step 2: Convert to fraction form
    928.13/1,280.90 = 578.75/x
  3. Step 3: Cross multiply
    928.13x = 1,280.90 × 578.75
  4. Step 4: Simplify right side
    928.13x = 741,320.88
  5. Step 5: Solve for x
    x = 741,320.88/928.13
  6. Step 6: Final answer
    x = 798.73

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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.