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Finding the Fourth Proportional to 663.76, 915.99 and 401.77

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Solution

The fourth proportional to 663.76, 915.99 and 401.77 is: 554.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.76 : 915.99 = 401.77 : x
  2. Step 2: Convert to fraction form
    663.76/915.99 = 401.77/x
  3. Step 3: Cross multiply
    663.76x = 915.99 × 401.77
  4. Step 4: Simplify right side
    663.76x = 368,019.20
  5. Step 5: Solve for x
    x = 368,019.20/663.76
  6. Step 6: Final answer
    x = 554.45

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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.