Home / 1,151.24-1,727.28-718.76

Finding the Fourth Proportional to 1,151.24, 1,727.28 and 718.76

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Solution

The fourth proportional to 1,151.24, 1,727.28 and 718.76 is: 1,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.24 : 1,727.28 = 718.76 : x
  2. Step 2: Convert to fraction form
    1,151.24/1,727.28 = 718.76/x
  3. Step 3: Cross multiply
    1,151.24x = 1,727.28 × 718.76
  4. Step 4: Simplify right side
    1,151.24x = 1,241,499.77
  5. Step 5: Solve for x
    x = 1,241,499.77/1,151.24
  6. Step 6: Final answer
    x = 1,078.40

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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.