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Finding the Fourth Proportional to 432.76, 644.98 and 432.09

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Solution

The fourth proportional to 432.76, 644.98 and 432.09 is: 643.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.76 : 644.98 = 432.09 : x
  2. Step 2: Convert to fraction form
    432.76/644.98 = 432.09/x
  3. Step 3: Cross multiply
    432.76x = 644.98 × 432.09
  4. Step 4: Simplify right side
    432.76x = 278,689.41
  5. Step 5: Solve for x
    x = 278,689.41/432.76
  6. Step 6: Final answer
    x = 643.98

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