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Finding the Fourth Proportional to 693.43, 1,040.15 and 549.25

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Solution

The fourth proportional to 693.43, 1,040.15 and 549.25 is: 823.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.43 : 1,040.15 = 549.25 : x
  2. Step 2: Convert to fraction form
    693.43/1,040.15 = 549.25/x
  3. Step 3: Cross multiply
    693.43x = 1,040.15 × 549.25
  4. Step 4: Simplify right side
    693.43x = 571,299.64
  5. Step 5: Solve for x
    x = 571,299.64/693.43
  6. Step 6: Final answer
    x = 823.88

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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.