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Finding the Fourth Proportional to 1,120.91, 1,681.81 and 709.92

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Solution

The fourth proportional to 1,120.91, 1,681.81 and 709.92 is: 1,065.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.91 : 1,681.81 = 709.92 : x
  2. Step 2: Convert to fraction form
    1,120.91/1,681.81 = 709.92/x
  3. Step 3: Cross multiply
    1,120.91x = 1,681.81 × 709.92
  4. Step 4: Simplify right side
    1,120.91x = 1,193,948.78
  5. Step 5: Solve for x
    x = 1,193,948.78/1,120.91
  6. Step 6: Final answer
    x = 1,065.17

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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.