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Finding the Fourth Proportional to 742.28, 1,024.33 and 406.19

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Solution

The fourth proportional to 742.28, 1,024.33 and 406.19 is: 560.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.28 : 1,024.33 = 406.19 : x
  2. Step 2: Convert to fraction form
    742.28/1,024.33 = 406.19/x
  3. Step 3: Cross multiply
    742.28x = 1,024.33 × 406.19
  4. Step 4: Simplify right side
    742.28x = 416,072.60
  5. Step 5: Solve for x
    x = 416,072.60/742.28
  6. Step 6: Final answer
    x = 560.53

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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.