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Finding the Fourth Proportional to 615.65, 849.92 and 489.36

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Solution

The fourth proportional to 615.65, 849.92 and 489.36 is: 675.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.65 : 849.92 = 489.36 : x
  2. Step 2: Convert to fraction form
    615.65/849.92 = 489.36/x
  3. Step 3: Cross multiply
    615.65x = 849.92 × 489.36
  4. Step 4: Simplify right side
    615.65x = 415,915.56
  5. Step 5: Solve for x
    x = 415,915.56/615.65
  6. Step 6: Final answer
    x = 675.58

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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.