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Finding the Fourth Proportional to 663.08, 915.08 and 414.21

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Solution

The fourth proportional to 663.08, 915.08 and 414.21 is: 571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.08 : 915.08 = 414.21 : x
  2. Step 2: Convert to fraction form
    663.08/915.08 = 414.21/x
  3. Step 3: Cross multiply
    663.08x = 915.08 × 414.21
  4. Step 4: Simplify right side
    663.08x = 379,035.29
  5. Step 5: Solve for x
    x = 379,035.29/663.08
  6. Step 6: Final answer
    x = 571.63

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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.