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Finding the Fourth Proportional to 852.12, 1,175.73 and 572.88

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Solution

The fourth proportional to 852.12, 1,175.73 and 572.88 is: 790.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.12 : 1,175.73 = 572.88 : x
  2. Step 2: Convert to fraction form
    852.12/1,175.73 = 572.88/x
  3. Step 3: Cross multiply
    852.12x = 1,175.73 × 572.88
  4. Step 4: Simplify right side
    852.12x = 673,552.20
  5. Step 5: Solve for x
    x = 673,552.20/852.12
  6. Step 6: Final answer
    x = 790.44

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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.