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Finding the Fourth Proportional to 905.12, 1,248.92 and 526.94

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Solution

The fourth proportional to 905.12, 1,248.92 and 526.94 is: 727.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.12 : 1,248.92 = 526.94 : x
  2. Step 2: Convert to fraction form
    905.12/1,248.92 = 526.94/x
  3. Step 3: Cross multiply
    905.12x = 1,248.92 × 526.94
  4. Step 4: Simplify right side
    905.12x = 658,105.90
  5. Step 5: Solve for x
    x = 658,105.90/905.12
  6. Step 6: Final answer
    x = 727.09

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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.