Home / 1,119.36-1,545.12-809.76

Finding the Fourth Proportional to 1,119.36, 1,545.12 and 809.76

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Solution

The fourth proportional to 1,119.36, 1,545.12 and 809.76 is: 1,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.36 : 1,545.12 = 809.76 : x
  2. Step 2: Convert to fraction form
    1,119.36/1,545.12 = 809.76/x
  3. Step 3: Cross multiply
    1,119.36x = 1,545.12 × 809.76
  4. Step 4: Simplify right side
    1,119.36x = 1,251,176.37
  5. Step 5: Solve for x
    x = 1,251,176.37/1,119.36
  6. Step 6: Final answer
    x = 1,117.76

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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.