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Finding the Fourth Proportional to 880.12, 1,314.88 and 778.51

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Solution

The fourth proportional to 880.12, 1,314.88 and 778.51 is: 1,163.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.12 : 1,314.88 = 778.51 : x
  2. Step 2: Convert to fraction form
    880.12/1,314.88 = 778.51/x
  3. Step 3: Cross multiply
    880.12x = 1,314.88 × 778.51
  4. Step 4: Simplify right side
    880.12x = 1,023,651.31
  5. Step 5: Solve for x
    x = 1,023,651.31/880.12
  6. Step 6: Final answer
    x = 1,163.09

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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.