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Finding the Fourth Proportional to 872.45, 1,205.04 and 652.38

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Solution

The fourth proportional to 872.45, 1,205.04 and 652.38 is: 901.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.45 : 1,205.04 = 652.38 : x
  2. Step 2: Convert to fraction form
    872.45/1,205.04 = 652.38/x
  3. Step 3: Cross multiply
    872.45x = 1,205.04 × 652.38
  4. Step 4: Simplify right side
    872.45x = 786,141.92
  5. Step 5: Solve for x
    x = 786,141.92/872.45
  6. Step 6: Final answer
    x = 901.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.