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Finding the Fourth Proportional to 531.41, 731.78 and 448.18

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Solution

The fourth proportional to 531.41, 731.78 and 448.18 is: 617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.41 : 731.78 = 448.18 : x
  2. Step 2: Convert to fraction form
    531.41/731.78 = 448.18/x
  3. Step 3: Cross multiply
    531.41x = 731.78 × 448.18
  4. Step 4: Simplify right side
    531.41x = 327,966.92
  5. Step 5: Solve for x
    x = 327,966.92/531.41
  6. Step 6: Final answer
    x = 617.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.