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Finding the Fourth Proportional to 849.92, 1,275.56 and 589.76

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Solution

The fourth proportional to 849.92, 1,275.56 and 589.76 is: 885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.92 : 1,275.56 = 589.76 : x
  2. Step 2: Convert to fraction form
    849.92/1,275.56 = 589.76/x
  3. Step 3: Cross multiply
    849.92x = 1,275.56 × 589.76
  4. Step 4: Simplify right side
    849.92x = 752,274.27
  5. Step 5: Solve for x
    x = 752,274.27/849.92
  6. Step 6: Final answer
    x = 885.11

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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.