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Finding the Fourth Proportional to 864.25, 1,296.38 and 287.13

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Solution

The fourth proportional to 864.25, 1,296.38 and 287.13 is: 430.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.25 : 1,296.38 = 287.13 : x
  2. Step 2: Convert to fraction form
    864.25/1,296.38 = 287.13/x
  3. Step 3: Cross multiply
    864.25x = 1,296.38 × 287.13
  4. Step 4: Simplify right side
    864.25x = 372,229.59
  5. Step 5: Solve for x
    x = 372,229.59/864.25
  6. Step 6: Final answer
    x = 430.70

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