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Finding the Fourth Proportional to 825.80, 1,239.90 and 502.52

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Solution

The fourth proportional to 825.80, 1,239.90 and 502.52 is: 754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.80 : 1,239.90 = 502.52 : x
  2. Step 2: Convert to fraction form
    825.80/1,239.90 = 502.52/x
  3. Step 3: Cross multiply
    825.80x = 1,239.90 × 502.52
  4. Step 4: Simplify right side
    825.80x = 623,074.55
  5. Step 5: Solve for x
    x = 623,074.55/825.80
  6. Step 6: Final answer
    x = 754.51

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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.