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Finding the Fourth Proportional to 742.76, 1,112.16 and 589

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Solution

The fourth proportional to 742.76, 1,112.16 and 589 is: 881.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.76 : 1,112.16 = 589 : x
  2. Step 2: Convert to fraction form
    742.76/1,112.16 = 589/x
  3. Step 3: Cross multiply
    742.76x = 1,112.16 × 589
  4. Step 4: Simplify right side
    742.76x = 655,062.24
  5. Step 5: Solve for x
    x = 655,062.24/742.76
  6. Step 6: Final answer
    x = 881.93

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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.