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Finding the Fourth Proportional to 742.41, 1,024.49 and 427.68

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Solution

The fourth proportional to 742.41, 1,024.49 and 427.68 is: 590.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.41 : 1,024.49 = 427.68 : x
  2. Step 2: Convert to fraction form
    742.41/1,024.49 = 427.68/x
  3. Step 3: Cross multiply
    742.41x = 1,024.49 × 427.68
  4. Step 4: Simplify right side
    742.41x = 438,154.95
  5. Step 5: Solve for x
    x = 438,154.95/742.41
  6. Step 6: Final answer
    x = 590.18

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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.