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Finding the Fourth Proportional to 1,549.55, 2,324.78 and 624.63

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Solution

The fourth proportional to 1,549.55, 2,324.78 and 624.63 is: 937.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.55 : 2,324.78 = 624.63 : x
  2. Step 2: Convert to fraction form
    1,549.55/2,324.78 = 624.63/x
  3. Step 3: Cross multiply
    1,549.55x = 2,324.78 × 624.63
  4. Step 4: Simplify right side
    1,549.55x = 1,452,112.58
  5. Step 5: Solve for x
    x = 1,452,112.58/1,549.55
  6. Step 6: Final answer
    x = 937.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.