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Finding the Fourth Proportional to 833.05, 1,149.57 and 478.72

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Solution

The fourth proportional to 833.05, 1,149.57 and 478.72 is: 660.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.05 : 1,149.57 = 478.72 : x
  2. Step 2: Convert to fraction form
    833.05/1,149.57 = 478.72/x
  3. Step 3: Cross multiply
    833.05x = 1,149.57 × 478.72
  4. Step 4: Simplify right side
    833.05x = 550,318.32
  5. Step 5: Solve for x
    x = 550,318.32/833.05
  6. Step 6: Final answer
    x = 660.61

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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.