Home / 1,132.28-1,559.76-984.66

Finding the Fourth Proportional to 1,132.28, 1,559.76 and 984.66

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Solution

The fourth proportional to 1,132.28, 1,559.76 and 984.66 is: 1,356.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.28 : 1,559.76 = 984.66 : x
  2. Step 2: Convert to fraction form
    1,132.28/1,559.76 = 984.66/x
  3. Step 3: Cross multiply
    1,132.28x = 1,559.76 × 984.66
  4. Step 4: Simplify right side
    1,132.28x = 1,535,823.74
  5. Step 5: Solve for x
    x = 1,535,823.74/1,132.28
  6. Step 6: Final answer
    x = 1,356.40

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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.