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Finding the Fourth Proportional to 852.38, 1,175.89 and 553.61

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Solution

The fourth proportional to 852.38, 1,175.89 and 553.61 is: 763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.38 : 1,175.89 = 553.61 : x
  2. Step 2: Convert to fraction form
    852.38/1,175.89 = 553.61/x
  3. Step 3: Cross multiply
    852.38x = 1,175.89 × 553.61
  4. Step 4: Simplify right side
    852.38x = 650,980.44
  5. Step 5: Solve for x
    x = 650,980.44/852.38
  6. Step 6: Final answer
    x = 763.72

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1.5x scale

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.