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Finding the Fourth Proportional to 778.97, 1,159.63 and 774.86

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Solution

The fourth proportional to 778.97, 1,159.63 and 774.86 is: 1,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.97 : 1,159.63 = 774.86 : x
  2. Step 2: Convert to fraction form
    778.97/1,159.63 = 774.86/x
  3. Step 3: Cross multiply
    778.97x = 1,159.63 × 774.86
  4. Step 4: Simplify right side
    778.97x = 898,543.17
  5. Step 5: Solve for x
    x = 898,543.17/778.97
  6. Step 6: Final answer
    x = 1,153.50

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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.