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Finding the Fourth Proportional to 663.13, 915.24 and 401.14

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Solution

The fourth proportional to 663.13, 915.24 and 401.14 is: 553.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.13 : 915.24 = 401.14 : x
  2. Step 2: Convert to fraction form
    663.13/915.24 = 401.14/x
  3. Step 3: Cross multiply
    663.13x = 915.24 × 401.14
  4. Step 4: Simplify right side
    663.13x = 367,139.37
  5. Step 5: Solve for x
    x = 367,139.37/663.13
  6. Step 6: Final answer
    x = 553.65

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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.