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Finding the Fourth Proportional to 648.30, 974.06 and 609.42

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Solution

The fourth proportional to 648.30, 974.06 and 609.42 is: 915.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.30 : 974.06 = 609.42 : x
  2. Step 2: Convert to fraction form
    648.30/974.06 = 609.42/x
  3. Step 3: Cross multiply
    648.30x = 974.06 × 609.42
  4. Step 4: Simplify right side
    648.30x = 593,611.65
  5. Step 5: Solve for x
    x = 593,611.65/648.30
  6. Step 6: Final answer
    x = 915.64

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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.