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Finding the Fourth Proportional to 909.75, 1,370.82 and 810.29

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Solution

The fourth proportional to 909.75, 1,370.82 and 810.29 is: 1,220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.75 : 1,370.82 = 810.29 : x
  2. Step 2: Convert to fraction form
    909.75/1,370.82 = 810.29/x
  3. Step 3: Cross multiply
    909.75x = 1,370.82 × 810.29
  4. Step 4: Simplify right side
    909.75x = 1,110,765.16
  5. Step 5: Solve for x
    x = 1,110,765.16/909.75
  6. Step 6: Final answer
    x = 1,220.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.