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Finding the Fourth Proportional to 833.46, 1,148.90 and 700.62

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Solution

The fourth proportional to 833.46, 1,148.90 and 700.62 is: 965.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.46 : 1,148.90 = 700.62 : x
  2. Step 2: Convert to fraction form
    833.46/1,148.90 = 700.62/x
  3. Step 3: Cross multiply
    833.46x = 1,148.90 × 700.62
  4. Step 4: Simplify right side
    833.46x = 804,942.32
  5. Step 5: Solve for x
    x = 804,942.32/833.46
  6. Step 6: Final answer
    x = 965.78

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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.