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Finding the Fourth Proportional to 576.25, 864.96 and 432.88

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Solution

The fourth proportional to 576.25, 864.96 and 432.88 is: 649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.25 : 864.96 = 432.88 : x
  2. Step 2: Convert to fraction form
    576.25/864.96 = 432.88/x
  3. Step 3: Cross multiply
    576.25x = 864.96 × 432.88
  4. Step 4: Simplify right side
    576.25x = 374,423.88
  5. Step 5: Solve for x
    x = 374,423.88/576.25
  6. Step 6: Final answer
    x = 649.76

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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.