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Finding the Fourth Proportional to 864.74, 1,295.48 and 432.20

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Solution

The fourth proportional to 864.74, 1,295.48 and 432.20 is: 647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.74 : 1,295.48 = 432.20 : x
  2. Step 2: Convert to fraction form
    864.74/1,295.48 = 432.20/x
  3. Step 3: Cross multiply
    864.74x = 1,295.48 × 432.20
  4. Step 4: Simplify right side
    864.74x = 559,906.46
  5. Step 5: Solve for x
    x = 559,906.46/864.74
  6. Step 6: Final answer
    x = 647.49

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.