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Finding the Fourth Proportional to 742.92, 1,020.94 and 602.74

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Solution

The fourth proportional to 742.92, 1,020.94 and 602.74 is: 828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.92 : 1,020.94 = 602.74 : x
  2. Step 2: Convert to fraction form
    742.92/1,020.94 = 602.74/x
  3. Step 3: Cross multiply
    742.92x = 1,020.94 × 602.74
  4. Step 4: Simplify right side
    742.92x = 615,353.26
  5. Step 5: Solve for x
    x = 615,353.26/742.92
  6. Step 6: Final answer
    x = 828.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.