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Finding the Fourth Proportional to 742.40, 1,023.10 and 532.22

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Solution

The fourth proportional to 742.40, 1,023.10 and 532.22 is: 733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.40 : 1,023.10 = 532.22 : x
  2. Step 2: Convert to fraction form
    742.40/1,023.10 = 532.22/x
  3. Step 3: Cross multiply
    742.40x = 1,023.10 × 532.22
  4. Step 4: Simplify right side
    742.40x = 544,514.28
  5. Step 5: Solve for x
    x = 544,514.28/742.40
  6. Step 6: Final answer
    x = 733.45

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1.5x scale

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.