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Finding the Fourth Proportional to 833.91, 1,249.24 and 718.35

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Solution

The fourth proportional to 833.91, 1,249.24 and 718.35 is: 1,076.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.91 : 1,249.24 = 718.35 : x
  2. Step 2: Convert to fraction form
    833.91/1,249.24 = 718.35/x
  3. Step 3: Cross multiply
    833.91x = 1,249.24 × 718.35
  4. Step 4: Simplify right side
    833.91x = 897,389.76
  5. Step 5: Solve for x
    x = 897,389.76/833.91
  6. Step 6: Final answer
    x = 1,076.12

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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.