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Finding the Fourth Proportional to 891.84, 1,230.74 and 537.78

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Solution

The fourth proportional to 891.84, 1,230.74 and 537.78 is: 742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.84 : 1,230.74 = 537.78 : x
  2. Step 2: Convert to fraction form
    891.84/1,230.74 = 537.78/x
  3. Step 3: Cross multiply
    891.84x = 1,230.74 × 537.78
  4. Step 4: Simplify right side
    891.84x = 661,861.20
  5. Step 5: Solve for x
    x = 661,861.20/891.84
  6. Step 6: Final answer
    x = 742.13

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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.