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Finding the Fourth Proportional to 872.52, 1,307.08 and 828.24

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Solution

The fourth proportional to 872.52, 1,307.08 and 828.24 is: 1,240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.52 : 1,307.08 = 828.24 : x
  2. Step 2: Convert to fraction form
    872.52/1,307.08 = 828.24/x
  3. Step 3: Cross multiply
    872.52x = 1,307.08 × 828.24
  4. Step 4: Simplify right side
    872.52x = 1,082,575.94
  5. Step 5: Solve for x
    x = 1,082,575.94/872.52
  6. Step 6: Final answer
    x = 1,240.75

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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.