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Finding the Fourth Proportional to 663.85, 916.10 and 401.86

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Solution

The fourth proportional to 663.85, 916.10 and 401.86 is: 554.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.85 : 916.10 = 401.86 : x
  2. Step 2: Convert to fraction form
    663.85/916.10 = 401.86/x
  3. Step 3: Cross multiply
    663.85x = 916.10 × 401.86
  4. Step 4: Simplify right side
    663.85x = 368,143.95
  5. Step 5: Solve for x
    x = 368,143.95/663.85
  6. Step 6: Final answer
    x = 554.56

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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.