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Finding the Fourth Proportional to 829.91, 1,242.95 and 504.70

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Solution

The fourth proportional to 829.91, 1,242.95 and 504.70 is: 755.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.91 : 1,242.95 = 504.70 : x
  2. Step 2: Convert to fraction form
    829.91/1,242.95 = 504.70/x
  3. Step 3: Cross multiply
    829.91x = 1,242.95 × 504.70
  4. Step 4: Simplify right side
    829.91x = 627,311.23
  5. Step 5: Solve for x
    x = 627,311.23/829.91
  6. Step 6: Final answer
    x = 755.88

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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.