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Finding the Fourth Proportional to 1,384.56, 2,074.82 and 644.40

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Solution

The fourth proportional to 1,384.56, 2,074.82 and 644.40 is: 965.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.56 : 2,074.82 = 644.40 : x
  2. Step 2: Convert to fraction form
    1,384.56/2,074.82 = 644.40/x
  3. Step 3: Cross multiply
    1,384.56x = 2,074.82 × 644.40
  4. Step 4: Simplify right side
    1,384.56x = 1,337,010.79
  5. Step 5: Solve for x
    x = 1,337,010.79/1,384.56
  6. Step 6: Final answer
    x = 965.66

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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.