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Finding the Fourth Proportional to 794.71, 1,194.50 and 777.70

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Solution

The fourth proportional to 794.71, 1,194.50 and 777.70 is: 1,168.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.71 : 1,194.50 = 777.70 : x
  2. Step 2: Convert to fraction form
    794.71/1,194.50 = 777.70/x
  3. Step 3: Cross multiply
    794.71x = 1,194.50 × 777.70
  4. Step 4: Simplify right side
    794.71x = 928,962.65
  5. Step 5: Solve for x
    x = 928,962.65/794.71
  6. Step 6: Final answer
    x = 1,168.93

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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.