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Finding the Fourth Proportional to 778.73, 1,074.51 and 631.11

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Solution

The fourth proportional to 778.73, 1,074.51 and 631.11 is: 870.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.73 : 1,074.51 = 631.11 : x
  2. Step 2: Convert to fraction form
    778.73/1,074.51 = 631.11/x
  3. Step 3: Cross multiply
    778.73x = 1,074.51 × 631.11
  4. Step 4: Simplify right side
    778.73x = 678,134.01
  5. Step 5: Solve for x
    x = 678,134.01/778.73
  6. Step 6: Final answer
    x = 870.82

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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.