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Finding the Fourth Proportional to 644.65, 967.31 and 609.80

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Solution

The fourth proportional to 644.65, 967.31 and 609.80 is: 915.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.65 : 967.31 = 609.80 : x
  2. Step 2: Convert to fraction form
    644.65/967.31 = 609.80/x
  3. Step 3: Cross multiply
    644.65x = 967.31 × 609.80
  4. Step 4: Simplify right side
    644.65x = 589,864.74
  5. Step 5: Solve for x
    x = 589,864.74/644.65
  6. Step 6: Final answer
    x = 915.02

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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.