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Finding the Fourth Proportional to 892.82, 1,337.41 and 526.50

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Solution

The fourth proportional to 892.82, 1,337.41 and 526.50 is: 788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.82 : 1,337.41 = 526.50 : x
  2. Step 2: Convert to fraction form
    892.82/1,337.41 = 526.50/x
  3. Step 3: Cross multiply
    892.82x = 1,337.41 × 526.50
  4. Step 4: Simplify right side
    892.82x = 704,147.02
  5. Step 5: Solve for x
    x = 704,147.02/892.82
  6. Step 6: Final answer
    x = 788.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.