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Finding the Fourth Proportional to 1,146.80, 1,727.51 and 1,047.17

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Solution

The fourth proportional to 1,146.80, 1,727.51 and 1,047.17 is: 1,577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.80 : 1,727.51 = 1,047.17 : x
  2. Step 2: Convert to fraction form
    1,146.80/1,727.51 = 1,047.17/x
  3. Step 3: Cross multiply
    1,146.80x = 1,727.51 × 1,047.17
  4. Step 4: Simplify right side
    1,146.80x = 1,808,996.65
  5. Step 5: Solve for x
    x = 1,808,996.65/1,146.80
  6. Step 6: Final answer
    x = 1,577.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.