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Finding the Fourth Proportional to 909.87, 1,255.78 and 536.82

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Solution

The fourth proportional to 909.87, 1,255.78 and 536.82 is: 740.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.87 : 1,255.78 = 536.82 : x
  2. Step 2: Convert to fraction form
    909.87/1,255.78 = 536.82/x
  3. Step 3: Cross multiply
    909.87x = 1,255.78 × 536.82
  4. Step 4: Simplify right side
    909.87x = 674,125.14
  5. Step 5: Solve for x
    x = 674,125.14/909.87
  6. Step 6: Final answer
    x = 740.91

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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.