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Finding the Fourth Proportional to 909.96, 1,255.95 and 537.09

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Solution

The fourth proportional to 909.96, 1,255.95 and 537.09 is: 741.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.96 : 1,255.95 = 537.09 : x
  2. Step 2: Convert to fraction form
    909.96/1,255.95 = 537.09/x
  3. Step 3: Cross multiply
    909.96x = 1,255.95 × 537.09
  4. Step 4: Simplify right side
    909.96x = 674,558.19
  5. Step 5: Solve for x
    x = 674,558.19/909.96
  6. Step 6: Final answer
    x = 741.31

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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.