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Finding the Fourth Proportional to 778.07, 1,070.60 and 759.62

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Solution

The fourth proportional to 778.07, 1,070.60 and 759.62 is: 1,045.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.07 : 1,070.60 = 759.62 : x
  2. Step 2: Convert to fraction form
    778.07/1,070.60 = 759.62/x
  3. Step 3: Cross multiply
    778.07x = 1,070.60 × 759.62
  4. Step 4: Simplify right side
    778.07x = 813,248.05
  5. Step 5: Solve for x
    x = 813,248.05/778.07
  6. Step 6: Final answer
    x = 1,045.21

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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.