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Finding the Fourth Proportional to 909.10, 1,245.82 and 821.62

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Solution

The fourth proportional to 909.10, 1,245.82 and 821.62 is: 1,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.10 : 1,245.82 = 821.62 : x
  2. Step 2: Convert to fraction form
    909.10/1,245.82 = 821.62/x
  3. Step 3: Cross multiply
    909.10x = 1,245.82 × 821.62
  4. Step 4: Simplify right side
    909.10x = 1,023,580.29
  5. Step 5: Solve for x
    x = 1,023,580.29/909.10
  6. Step 6: Final answer
    x = 1,125.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.