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Finding the Fourth Proportional to 794.87, 1,193.05 and 429.95

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Solution

The fourth proportional to 794.87, 1,193.05 and 429.95 is: 645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.87 : 1,193.05 = 429.95 : x
  2. Step 2: Convert to fraction form
    794.87/1,193.05 = 429.95/x
  3. Step 3: Cross multiply
    794.87x = 1,193.05 × 429.95
  4. Step 4: Simplify right side
    794.87x = 512,945.88
  5. Step 5: Solve for x
    x = 512,945.88/794.87
  6. Step 6: Final answer
    x = 645.32

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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.