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Finding the Fourth Proportional to 742.31, 1,113.37 and 467.56

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Solution

The fourth proportional to 742.31, 1,113.37 and 467.56 is: 701.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.31 : 1,113.37 = 467.56 : x
  2. Step 2: Convert to fraction form
    742.31/1,113.37 = 467.56/x
  3. Step 3: Cross multiply
    742.31x = 1,113.37 × 467.56
  4. Step 4: Simplify right side
    742.31x = 520,567.28
  5. Step 5: Solve for x
    x = 520,567.28/742.31
  6. Step 6: Final answer
    x = 701.28

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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.