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Finding the Fourth Proportional to 833.72, 1,149.26 and 700.88

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Solution

The fourth proportional to 833.72, 1,149.26 and 700.88 is: 966.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.72 : 1,149.26 = 700.88 : x
  2. Step 2: Convert to fraction form
    833.72/1,149.26 = 700.88/x
  3. Step 3: Cross multiply
    833.72x = 1,149.26 × 700.88
  4. Step 4: Simplify right side
    833.72x = 805,484.10
  5. Step 5: Solve for x
    x = 805,484.10/833.72
  6. Step 6: Final answer
    x = 966.14

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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.