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Finding the Fourth Proportional to 748.28, 1,031.43 and 590.66

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Solution

The fourth proportional to 748.28, 1,031.43 and 590.66 is: 814.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.28 : 1,031.43 = 590.66 : x
  2. Step 2: Convert to fraction form
    748.28/1,031.43 = 590.66/x
  3. Step 3: Cross multiply
    748.28x = 1,031.43 × 590.66
  4. Step 4: Simplify right side
    748.28x = 609,224.44
  5. Step 5: Solve for x
    x = 609,224.44/748.28
  6. Step 6: Final answer
    x = 814.17

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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.