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Finding the Fourth Proportional to 784.87, 1,177.46 and 264.85

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Solution

The fourth proportional to 784.87, 1,177.46 and 264.85 is: 397.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.87 : 1,177.46 = 264.85 : x
  2. Step 2: Convert to fraction form
    784.87/1,177.46 = 264.85/x
  3. Step 3: Cross multiply
    784.87x = 1,177.46 × 264.85
  4. Step 4: Simplify right side
    784.87x = 311,850.28
  5. Step 5: Solve for x
    x = 311,850.28/784.87
  6. Step 6: Final answer
    x = 397.33

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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.