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Finding the Fourth Proportional to 747.06, 1,031.34 and 589.44

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Solution

The fourth proportional to 747.06, 1,031.34 and 589.44 is: 813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.06 : 1,031.34 = 589.44 : x
  2. Step 2: Convert to fraction form
    747.06/1,031.34 = 589.44/x
  3. Step 3: Cross multiply
    747.06x = 1,031.34 × 589.44
  4. Step 4: Simplify right side
    747.06x = 607,913.05
  5. Step 5: Solve for x
    x = 607,913.05/747.06
  6. Step 6: Final answer
    x = 813.74

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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.