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Finding the Fourth Proportional to 827.20, 1,140.52 and 532

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Solution

The fourth proportional to 827.20, 1,140.52 and 532 is: 733.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.20 : 1,140.52 = 532 : x
  2. Step 2: Convert to fraction form
    827.20/1,140.52 = 532/x
  3. Step 3: Cross multiply
    827.20x = 1,140.52 × 532
  4. Step 4: Simplify right side
    827.20x = 606,756.64
  5. Step 5: Solve for x
    x = 606,756.64/827.20
  6. Step 6: Final answer
    x = 733.51

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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.