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Finding the Fourth Proportional to 820.81, 1,132.20 and 526.27

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Solution

The fourth proportional to 820.81, 1,132.20 and 526.27 is: 725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.81 : 1,132.20 = 526.27 : x
  2. Step 2: Convert to fraction form
    820.81/1,132.20 = 526.27/x
  3. Step 3: Cross multiply
    820.81x = 1,132.20 × 526.27
  4. Step 4: Simplify right side
    820.81x = 595,842.89
  5. Step 5: Solve for x
    x = 595,842.89/820.81
  6. Step 6: Final answer
    x = 725.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.