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Finding the Fourth Proportional to 432.53, 647.92 and 409.81

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Solution

The fourth proportional to 432.53, 647.92 and 409.81 is: 613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.53 : 647.92 = 409.81 : x
  2. Step 2: Convert to fraction form
    432.53/647.92 = 409.81/x
  3. Step 3: Cross multiply
    432.53x = 647.92 × 409.81
  4. Step 4: Simplify right side
    432.53x = 265,522.05
  5. Step 5: Solve for x
    x = 265,522.05/432.53
  6. Step 6: Final answer
    x = 613.89

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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.