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Finding the Fourth Proportional to 937.46, 1,403.84 and 644.19

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Solution

The fourth proportional to 937.46, 1,403.84 and 644.19 is: 964.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.46 : 1,403.84 = 644.19 : x
  2. Step 2: Convert to fraction form
    937.46/1,403.84 = 644.19/x
  3. Step 3: Cross multiply
    937.46x = 1,403.84 × 644.19
  4. Step 4: Simplify right side
    937.46x = 904,339.69
  5. Step 5: Solve for x
    x = 904,339.69/937.46
  6. Step 6: Final answer
    x = 964.67

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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.