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Finding the Fourth Proportional to 1,159.97, 1,740.22 and 511.16

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Solution

The fourth proportional to 1,159.97, 1,740.22 and 511.16 is: 766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.97 : 1,740.22 = 511.16 : x
  2. Step 2: Convert to fraction form
    1,159.97/1,740.22 = 511.16/x
  3. Step 3: Cross multiply
    1,159.97x = 1,740.22 × 511.16
  4. Step 4: Simplify right side
    1,159.97x = 889,520.88
  5. Step 5: Solve for x
    x = 889,520.88/1,159.97
  6. Step 6: Final answer
    x = 766.85

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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.