Home / 1,119.24-1,678.77-707.18

Finding the Fourth Proportional to 1,119.24, 1,678.77 and 707.18

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Solution

The fourth proportional to 1,119.24, 1,678.77 and 707.18 is: 1,060.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.24 : 1,678.77 = 707.18 : x
  2. Step 2: Convert to fraction form
    1,119.24/1,678.77 = 707.18/x
  3. Step 3: Cross multiply
    1,119.24x = 1,678.77 × 707.18
  4. Step 4: Simplify right side
    1,119.24x = 1,187,184.17
  5. Step 5: Solve for x
    x = 1,187,184.17/1,119.24
  6. Step 6: Final answer
    x = 1,060.71

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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.