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Finding the Fourth Proportional to 742.17, 1,024.20 and 427.47

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Solution

The fourth proportional to 742.17, 1,024.20 and 427.47 is: 589.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.17 : 1,024.20 = 427.47 : x
  2. Step 2: Convert to fraction form
    742.17/1,024.20 = 427.47/x
  3. Step 3: Cross multiply
    742.17x = 1,024.20 × 427.47
  4. Step 4: Simplify right side
    742.17x = 437,814.77
  5. Step 5: Solve for x
    x = 437,814.77/742.17
  6. Step 6: Final answer
    x = 589.91

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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.