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Finding the Fourth Proportional to 1,015.72, 1,521.81 and 644.60

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Solution

The fourth proportional to 1,015.72, 1,521.81 and 644.60 is: 965.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.72 : 1,521.81 = 644.60 : x
  2. Step 2: Convert to fraction form
    1,015.72/1,521.81 = 644.60/x
  3. Step 3: Cross multiply
    1,015.72x = 1,521.81 × 644.60
  4. Step 4: Simplify right side
    1,015.72x = 980,962.53
  5. Step 5: Solve for x
    x = 980,962.53/1,015.72
  6. Step 6: Final answer
    x = 965.78

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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.