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Finding the Fourth Proportional to 753.75, 1,129.47 and 479

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Solution

The fourth proportional to 753.75, 1,129.47 and 479 is: 717.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.75 : 1,129.47 = 479 : x
  2. Step 2: Convert to fraction form
    753.75/1,129.47 = 479/x
  3. Step 3: Cross multiply
    753.75x = 1,129.47 × 479
  4. Step 4: Simplify right side
    753.75x = 541,016.13
  5. Step 5: Solve for x
    x = 541,016.13/753.75
  6. Step 6: Final answer
    x = 717.77

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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.