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Finding the Fourth Proportional to 782.11, 1,078.54 and 659.06

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Solution

The fourth proportional to 782.11, 1,078.54 and 659.06 is: 908.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.11 : 1,078.54 = 659.06 : x
  2. Step 2: Convert to fraction form
    782.11/1,078.54 = 659.06/x
  3. Step 3: Cross multiply
    782.11x = 1,078.54 × 659.06
  4. Step 4: Simplify right side
    782.11x = 710,822.57
  5. Step 5: Solve for x
    x = 710,822.57/782.11
  6. Step 6: Final answer
    x = 908.85

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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.