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Finding the Fourth Proportional to 791, 1,091.20 and 511.48

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Solution

The fourth proportional to 791, 1,091.20 and 511.48 is: 705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    791 : 1,091.20 = 511.48 : x
  2. Step 2: Convert to fraction form
    791/1,091.20 = 511.48/x
  3. Step 3: Cross multiply
    791x = 1,091.20 × 511.48
  4. Step 4: Simplify right side
    791x = 558,126.98
  5. Step 5: Solve for x
    x = 558,126.98/791
  6. Step 6: Final answer
    x = 705.60

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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.