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Finding the Fourth Proportional to 1,289.92, 1,780.11 and 700.46

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Solution

The fourth proportional to 1,289.92, 1,780.11 and 700.46 is: 966.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.92 : 1,780.11 = 700.46 : x
  2. Step 2: Convert to fraction form
    1,289.92/1,780.11 = 700.46/x
  3. Step 3: Cross multiply
    1,289.92x = 1,780.11 × 700.46
  4. Step 4: Simplify right side
    1,289.92x = 1,246,895.85
  5. Step 5: Solve for x
    x = 1,246,895.85/1,289.92
  6. Step 6: Final answer
    x = 966.65

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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.