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Finding the Fourth Proportional to 823.52, 1,235.19 and 207.23

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Solution

The fourth proportional to 823.52, 1,235.19 and 207.23 is: 310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.52 : 1,235.19 = 207.23 : x
  2. Step 2: Convert to fraction form
    823.52/1,235.19 = 207.23/x
  3. Step 3: Cross multiply
    823.52x = 1,235.19 × 207.23
  4. Step 4: Simplify right side
    823.52x = 255,962.89
  5. Step 5: Solve for x
    x = 255,962.89/823.52
  6. Step 6: Final answer
    x = 310.82

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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.