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Finding the Fourth Proportional to 742.34, 1,114.52 and 417.94

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Solution

The fourth proportional to 742.34, 1,114.52 and 417.94 is: 627.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.34 : 1,114.52 = 417.94 : x
  2. Step 2: Convert to fraction form
    742.34/1,114.52 = 417.94/x
  3. Step 3: Cross multiply
    742.34x = 1,114.52 × 417.94
  4. Step 4: Simplify right side
    742.34x = 465,802.49
  5. Step 5: Solve for x
    x = 465,802.49/742.34
  6. Step 6: Final answer
    x = 627.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.