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Finding the Fourth Proportional to 862.92, 1,288.44 and 780.84

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Solution

The fourth proportional to 862.92, 1,288.44 and 780.84 is: 1,165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.92 : 1,288.44 = 780.84 : x
  2. Step 2: Convert to fraction form
    862.92/1,288.44 = 780.84/x
  3. Step 3: Cross multiply
    862.92x = 1,288.44 × 780.84
  4. Step 4: Simplify right side
    862.92x = 1,006,065.49
  5. Step 5: Solve for x
    x = 1,006,065.49/862.92
  6. Step 6: Final answer
    x = 1,165.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.