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Finding the Fourth Proportional to 644.65, 965.60 and 599.69

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Solution

The fourth proportional to 644.65, 965.60 and 599.69 is: 898.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.65 : 965.60 = 599.69 : x
  2. Step 2: Convert to fraction form
    644.65/965.60 = 599.69/x
  3. Step 3: Cross multiply
    644.65x = 965.60 × 599.69
  4. Step 4: Simplify right side
    644.65x = 579,060.66
  5. Step 5: Solve for x
    x = 579,060.66/644.65
  6. Step 6: Final answer
    x = 898.26

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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.