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Finding the Fourth Proportional to 644.80, 965.85 and 507.19

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Solution

The fourth proportional to 644.80, 965.85 and 507.19 is: 759.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.80 : 965.85 = 507.19 : x
  2. Step 2: Convert to fraction form
    644.80/965.85 = 507.19/x
  3. Step 3: Cross multiply
    644.80x = 965.85 × 507.19
  4. Step 4: Simplify right side
    644.80x = 489,869.46
  5. Step 5: Solve for x
    x = 489,869.46/644.80
  6. Step 6: Final answer
    x = 759.72

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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.