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Finding the Fourth Proportional to 749.61, 1,031.27 and 574.65

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Solution

The fourth proportional to 749.61, 1,031.27 and 574.65 is: 790.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.61 : 1,031.27 = 574.65 : x
  2. Step 2: Convert to fraction form
    749.61/1,031.27 = 574.65/x
  3. Step 3: Cross multiply
    749.61x = 1,031.27 × 574.65
  4. Step 4: Simplify right side
    749.61x = 592,616.43
  5. Step 5: Solve for x
    x = 592,616.43/749.61
  6. Step 6: Final answer
    x = 790.57

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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.