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Finding the Fourth Proportional to 663.92, 916.36 and 401.88

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Solution

The fourth proportional to 663.92, 916.36 and 401.88 is: 554.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.92 : 916.36 = 401.88 : x
  2. Step 2: Convert to fraction form
    663.92/916.36 = 401.88/x
  3. Step 3: Cross multiply
    663.92x = 916.36 × 401.88
  4. Step 4: Simplify right side
    663.92x = 368,266.76
  5. Step 5: Solve for x
    x = 368,266.76/663.92
  6. Step 6: Final answer
    x = 554.69

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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.