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Finding the Fourth Proportional to 820.15, 1,235.75 and 731.72

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Solution

The fourth proportional to 820.15, 1,235.75 and 731.72 is: 1,102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.15 : 1,235.75 = 731.72 : x
  2. Step 2: Convert to fraction form
    820.15/1,235.75 = 731.72/x
  3. Step 3: Cross multiply
    820.15x = 1,235.75 × 731.72
  4. Step 4: Simplify right side
    820.15x = 904,222.42
  5. Step 5: Solve for x
    x = 904,222.42/820.15
  6. Step 6: Final answer
    x = 1,102.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.