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Finding the Fourth Proportional to 680.02, 1,021.25 and 609.55

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Solution

The fourth proportional to 680.02, 1,021.25 and 609.55 is: 915.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.02 : 1,021.25 = 609.55 : x
  2. Step 2: Convert to fraction form
    680.02/1,021.25 = 609.55/x
  3. Step 3: Cross multiply
    680.02x = 1,021.25 × 609.55
  4. Step 4: Simplify right side
    680.02x = 622,502.94
  5. Step 5: Solve for x
    x = 622,502.94/680.02
  6. Step 6: Final answer
    x = 915.42

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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.