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Finding the Fourth Proportional to 1,180.65, 1,629.30 and 708.57

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Solution

The fourth proportional to 1,180.65, 1,629.30 and 708.57 is: 977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.65 : 1,629.30 = 708.57 : x
  2. Step 2: Convert to fraction form
    1,180.65/1,629.30 = 708.57/x
  3. Step 3: Cross multiply
    1,180.65x = 1,629.30 × 708.57
  4. Step 4: Simplify right side
    1,180.65x = 1,154,473.10
  5. Step 5: Solve for x
    x = 1,154,473.10/1,180.65
  6. Step 6: Final answer
    x = 977.83

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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.