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Finding the Fourth Proportional to 663.49, 915.61 and 368.77

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Solution

The fourth proportional to 663.49, 915.61 and 368.77 is: 508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.49 : 915.61 = 368.77 : x
  2. Step 2: Convert to fraction form
    663.49/915.61 = 368.77/x
  3. Step 3: Cross multiply
    663.49x = 915.61 × 368.77
  4. Step 4: Simplify right side
    663.49x = 337,649.50
  5. Step 5: Solve for x
    x = 337,649.50/663.49
  6. Step 6: Final answer
    x = 508.90

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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.