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Finding the Fourth Proportional to 663.42, 916.62 and 626.97

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Solution

The fourth proportional to 663.42, 916.62 and 626.97 is: 866.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.42 : 916.62 = 626.97 : x
  2. Step 2: Convert to fraction form
    663.42/916.62 = 626.97/x
  3. Step 3: Cross multiply
    663.42x = 916.62 × 626.97
  4. Step 4: Simplify right side
    663.42x = 574,693.24
  5. Step 5: Solve for x
    x = 574,693.24/663.42
  6. Step 6: Final answer
    x = 866.26

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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.