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Finding the Fourth Proportional to 1,023.26, 1,411.97 and 575.16

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Solution

The fourth proportional to 1,023.26, 1,411.97 and 575.16 is: 793.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.26 : 1,411.97 = 575.16 : x
  2. Step 2: Convert to fraction form
    1,023.26/1,411.97 = 575.16/x
  3. Step 3: Cross multiply
    1,023.26x = 1,411.97 × 575.16
  4. Step 4: Simplify right side
    1,023.26x = 812,105.79
  5. Step 5: Solve for x
    x = 812,105.79/1,023.26
  6. Step 6: Final answer
    x = 793.65

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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.