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Finding the Fourth Proportional to 742.91, 1,026.30 and 613.31

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Solution

The fourth proportional to 742.91, 1,026.30 and 613.31 is: 847.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.91 : 1,026.30 = 613.31 : x
  2. Step 2: Convert to fraction form
    742.91/1,026.30 = 613.31/x
  3. Step 3: Cross multiply
    742.91x = 1,026.30 × 613.31
  4. Step 4: Simplify right side
    742.91x = 629,440.05
  5. Step 5: Solve for x
    x = 629,440.05/742.91
  6. Step 6: Final answer
    x = 847.26

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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.