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Finding the Fourth Proportional to 838.18, 1,157.81 and 644.12

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Solution

The fourth proportional to 838.18, 1,157.81 and 644.12 is: 889.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.18 : 1,157.81 = 644.12 : x
  2. Step 2: Convert to fraction form
    838.18/1,157.81 = 644.12/x
  3. Step 3: Cross multiply
    838.18x = 1,157.81 × 644.12
  4. Step 4: Simplify right side
    838.18x = 745,762.79
  5. Step 5: Solve for x
    x = 745,762.79/838.18
  6. Step 6: Final answer
    x = 889.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.