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Finding the Fourth Proportional to 432.56, 649.10 and 172.69

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Solution

The fourth proportional to 432.56, 649.10 and 172.69 is: 259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.56 : 649.10 = 172.69 : x
  2. Step 2: Convert to fraction form
    432.56/649.10 = 172.69/x
  3. Step 3: Cross multiply
    432.56x = 649.10 × 172.69
  4. Step 4: Simplify right side
    432.56x = 112,091.89
  5. Step 5: Solve for x
    x = 112,091.89/432.56
  6. Step 6: Final answer
    x = 259.13

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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.