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Finding the Fourth Proportional to 663.28, 915.62 and 397.84

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Solution

The fourth proportional to 663.28, 915.62 and 397.84 is: 549.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.28 : 915.62 = 397.84 : x
  2. Step 2: Convert to fraction form
    663.28/915.62 = 397.84/x
  3. Step 3: Cross multiply
    663.28x = 915.62 × 397.84
  4. Step 4: Simplify right side
    663.28x = 364,270.26
  5. Step 5: Solve for x
    x = 364,270.26/663.28
  6. Step 6: Final answer
    x = 549.20

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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.