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Finding the Fourth Proportional to 753.79, 1,128.27 and 491.69

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Solution

The fourth proportional to 753.79, 1,128.27 and 491.69 is: 735.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.79 : 1,128.27 = 491.69 : x
  2. Step 2: Convert to fraction form
    753.79/1,128.27 = 491.69/x
  3. Step 3: Cross multiply
    753.79x = 1,128.27 × 491.69
  4. Step 4: Simplify right side
    753.79x = 554,759.08
  5. Step 5: Solve for x
    x = 554,759.08/753.79
  6. Step 6: Final answer
    x = 735.96

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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.