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Finding the Fourth Proportional to 663.24, 915.33 and 368.55

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Solution

The fourth proportional to 663.24, 915.33 and 368.55 is: 508.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.24 : 915.33 = 368.55 : x
  2. Step 2: Convert to fraction form
    663.24/915.33 = 368.55/x
  3. Step 3: Cross multiply
    663.24x = 915.33 × 368.55
  4. Step 4: Simplify right side
    663.24x = 337,344.87
  5. Step 5: Solve for x
    x = 337,344.87/663.24
  6. Step 6: Final answer
    x = 508.63

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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.