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Finding the Fourth Proportional to 742.10, 1,023.98 and 410.48

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Solution

The fourth proportional to 742.10, 1,023.98 and 410.48 is: 566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.10 : 1,023.98 = 410.48 : x
  2. Step 2: Convert to fraction form
    742.10/1,023.98 = 410.48/x
  3. Step 3: Cross multiply
    742.10x = 1,023.98 × 410.48
  4. Step 4: Simplify right side
    742.10x = 420,323.31
  5. Step 5: Solve for x
    x = 420,323.31/742.10
  6. Step 6: Final answer
    x = 566.40

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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.