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Finding the Fourth Proportional to 674.26, 928.13 and 586.78

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Solution

The fourth proportional to 674.26, 928.13 and 586.78 is: 807.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.26 : 928.13 = 586.78 : x
  2. Step 2: Convert to fraction form
    674.26/928.13 = 586.78/x
  3. Step 3: Cross multiply
    674.26x = 928.13 × 586.78
  4. Step 4: Simplify right side
    674.26x = 544,600.55
  5. Step 5: Solve for x
    x = 544,600.55/674.26
  6. Step 6: Final answer
    x = 807.71

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Half scale
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Double scale
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Similar ratio
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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.