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Finding the Fourth Proportional to 748.06, 1,031.81 and 523.59

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Solution

The fourth proportional to 748.06, 1,031.81 and 523.59 is: 722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.06 : 1,031.81 = 523.59 : x
  2. Step 2: Convert to fraction form
    748.06/1,031.81 = 523.59/x
  3. Step 3: Cross multiply
    748.06x = 1,031.81 × 523.59
  4. Step 4: Simplify right side
    748.06x = 540,238.91
  5. Step 5: Solve for x
    x = 540,238.91/748.06
  6. Step 6: Final answer
    x = 722.19

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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.