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Finding the Fourth Proportional to 531.47, 800.33 and 463.80

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Solution

The fourth proportional to 531.47, 800.33 and 463.80 is: 698.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.47 : 800.33 = 463.80 : x
  2. Step 2: Convert to fraction form
    531.47/800.33 = 463.80/x
  3. Step 3: Cross multiply
    531.47x = 800.33 × 463.80
  4. Step 4: Simplify right side
    531.47x = 371,193.05
  5. Step 5: Solve for x
    x = 371,193.05/531.47
  6. Step 6: Final answer
    x = 698.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.