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Finding the Fourth Proportional to 913.26, 1,368.92 and 426.62

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Solution

The fourth proportional to 913.26, 1,368.92 and 426.62 is: 639.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.26 : 1,368.92 = 426.62 : x
  2. Step 2: Convert to fraction form
    913.26/1,368.92 = 426.62/x
  3. Step 3: Cross multiply
    913.26x = 1,368.92 × 426.62
  4. Step 4: Simplify right side
    913.26x = 584,008.65
  5. Step 5: Solve for x
    x = 584,008.65/913.26
  6. Step 6: Final answer
    x = 639.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.