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Finding the Fourth Proportional to 663.79, 916.22 and 398.29

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Solution

The fourth proportional to 663.79, 916.22 and 398.29 is: 549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.79 : 916.22 = 398.29 : x
  2. Step 2: Convert to fraction form
    663.79/916.22 = 398.29/x
  3. Step 3: Cross multiply
    663.79x = 916.22 × 398.29
  4. Step 4: Simplify right side
    663.79x = 364,921.26
  5. Step 5: Solve for x
    x = 364,921.26/663.79
  6. Step 6: Final answer
    x = 549.75

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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.