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Finding the Fourth Proportional to 880.73, 1,319.99 and 770.78

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Solution

The fourth proportional to 880.73, 1,319.99 and 770.78 is: 1,155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.73 : 1,319.99 = 770.78 : x
  2. Step 2: Convert to fraction form
    880.73/1,319.99 = 770.78/x
  3. Step 3: Cross multiply
    880.73x = 1,319.99 × 770.78
  4. Step 4: Simplify right side
    880.73x = 1,017,411.44
  5. Step 5: Solve for x
    x = 1,017,411.44/880.73
  6. Step 6: Final answer
    x = 1,155.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.