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Finding the Fourth Proportional to 664.48, 915.80 and 489.52

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Solution

The fourth proportional to 664.48, 915.80 and 489.52 is: 674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.48 : 915.80 = 489.52 : x
  2. Step 2: Convert to fraction form
    664.48/915.80 = 489.52/x
  3. Step 3: Cross multiply
    664.48x = 915.80 × 489.52
  4. Step 4: Simplify right side
    664.48x = 448,302.42
  5. Step 5: Solve for x
    x = 448,302.42/664.48
  6. Step 6: Final answer
    x = 674.67

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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.