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Finding the Fourth Proportional to 864.92, 1,291.42 and 782.84

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Solution

The fourth proportional to 864.92, 1,291.42 and 782.84 is: 1,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.92 : 1,291.42 = 782.84 : x
  2. Step 2: Convert to fraction form
    864.92/1,291.42 = 782.84/x
  3. Step 3: Cross multiply
    864.92x = 1,291.42 × 782.84
  4. Step 4: Simplify right side
    864.92x = 1,010,975.23
  5. Step 5: Solve for x
    x = 1,010,975.23/864.92
  6. Step 6: Final answer
    x = 1,168.87

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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.