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Finding the Fourth Proportional to 1,081.66, 1,491.58 and 708.65

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Solution

The fourth proportional to 1,081.66, 1,491.58 and 708.65 is: 977.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.66 : 1,491.58 = 708.65 : x
  2. Step 2: Convert to fraction form
    1,081.66/1,491.58 = 708.65/x
  3. Step 3: Cross multiply
    1,081.66x = 1,491.58 × 708.65
  4. Step 4: Simplify right side
    1,081.66x = 1,057,008.17
  5. Step 5: Solve for x
    x = 1,057,008.17/1,081.66
  6. Step 6: Final answer
    x = 977.21

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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.