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Finding the Fourth Proportional to 865.92, 1,298.16 and 432.48

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Solution

The fourth proportional to 865.92, 1,298.16 and 432.48 is: 648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.92 : 1,298.16 = 432.48 : x
  2. Step 2: Convert to fraction form
    865.92/1,298.16 = 432.48/x
  3. Step 3: Cross multiply
    865.92x = 1,298.16 × 432.48
  4. Step 4: Simplify right side
    865.92x = 561,428.24
  5. Step 5: Solve for x
    x = 561,428.24/865.92
  6. Step 6: Final answer
    x = 648.36

Related Problems

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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.