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Finding the Fourth Proportional to 909.75, 1,255.01 and 595.12

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Solution

The fourth proportional to 909.75, 1,255.01 and 595.12 is: 820.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.75 : 1,255.01 = 595.12 : x
  2. Step 2: Convert to fraction form
    909.75/1,255.01 = 595.12/x
  3. Step 3: Cross multiply
    909.75x = 1,255.01 × 595.12
  4. Step 4: Simplify right side
    909.75x = 746,881.55
  5. Step 5: Solve for x
    x = 746,881.55/909.75
  6. Step 6: Final answer
    x = 820.97

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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.