Home / 1,134.09-1,701.86-723.52

Finding the Fourth Proportional to 1,134.09, 1,701.86 and 723.52

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Solution

The fourth proportional to 1,134.09, 1,701.86 and 723.52 is: 1,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.09 : 1,701.86 = 723.52 : x
  2. Step 2: Convert to fraction form
    1,134.09/1,701.86 = 723.52/x
  3. Step 3: Cross multiply
    1,134.09x = 1,701.86 × 723.52
  4. Step 4: Simplify right side
    1,134.09x = 1,231,329.75
  5. Step 5: Solve for x
    x = 1,231,329.75/1,134.09
  6. Step 6: Final answer
    x = 1,085.74

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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.