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Finding the Fourth Proportional to 852.10, 1,175.61 and 541.78

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Solution

The fourth proportional to 852.10, 1,175.61 and 541.78 is: 747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.10 : 1,175.61 = 541.78 : x
  2. Step 2: Convert to fraction form
    852.10/1,175.61 = 541.78/x
  3. Step 3: Cross multiply
    852.10x = 1,175.61 × 541.78
  4. Step 4: Simplify right side
    852.10x = 636,921.99
  5. Step 5: Solve for x
    x = 636,921.99/852.10
  6. Step 6: Final answer
    x = 747.47

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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.