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Finding the Fourth Proportional to 868.89, 1,199.07 and 537.24

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Solution

The fourth proportional to 868.89, 1,199.07 and 537.24 is: 741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.89 : 1,199.07 = 537.24 : x
  2. Step 2: Convert to fraction form
    868.89/1,199.07 = 537.24/x
  3. Step 3: Cross multiply
    868.89x = 1,199.07 × 537.24
  4. Step 4: Simplify right side
    868.89x = 644,188.37
  5. Step 5: Solve for x
    x = 644,188.37/868.89
  6. Step 6: Final answer
    x = 741.39

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Double scale
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1.5x scale

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.