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Finding the Fourth Proportional to 820.22, 1,132.67 and 526

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Solution

The fourth proportional to 820.22, 1,132.67 and 526 is: 726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.22 : 1,132.67 = 526 : x
  2. Step 2: Convert to fraction form
    820.22/1,132.67 = 526/x
  3. Step 3: Cross multiply
    820.22x = 1,132.67 × 526
  4. Step 4: Simplify right side
    820.22x = 595,784.42
  5. Step 5: Solve for x
    x = 595,784.42/820.22
  6. Step 6: Final answer
    x = 726.37

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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.