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Finding the Fourth Proportional to 782.42, 1,078.32 and 648.95

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Solution

The fourth proportional to 782.42, 1,078.32 and 648.95 is: 894.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.42 : 1,078.32 = 648.95 : x
  2. Step 2: Convert to fraction form
    782.42/1,078.32 = 648.95/x
  3. Step 3: Cross multiply
    782.42x = 1,078.32 × 648.95
  4. Step 4: Simplify right side
    782.42x = 699,770.37
  5. Step 5: Solve for x
    x = 699,770.37/782.42
  6. Step 6: Final answer
    x = 894.37

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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.