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Finding the Fourth Proportional to 663.25, 914.67 and 426.91

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Solution

The fourth proportional to 663.25, 914.67 and 426.91 is: 588.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.25 : 914.67 = 426.91 : x
  2. Step 2: Convert to fraction form
    663.25/914.67 = 426.91/x
  3. Step 3: Cross multiply
    663.25x = 914.67 × 426.91
  4. Step 4: Simplify right side
    663.25x = 390,481.77
  5. Step 5: Solve for x
    x = 390,481.77/663.25
  6. Step 6: Final answer
    x = 588.74

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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.