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Finding the Fourth Proportional to 838.11, 1,156.23 and 479.01

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Solution

The fourth proportional to 838.11, 1,156.23 and 479.01 is: 660.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.11 : 1,156.23 = 479.01 : x
  2. Step 2: Convert to fraction form
    838.11/1,156.23 = 479.01/x
  3. Step 3: Cross multiply
    838.11x = 1,156.23 × 479.01
  4. Step 4: Simplify right side
    838.11x = 553,845.73
  5. Step 5: Solve for x
    x = 553,845.73/838.11
  6. Step 6: Final answer
    x = 660.83

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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.