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Finding the Fourth Proportional to 801.00, 1,105.25 and 446.91

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Solution

The fourth proportional to 801.00, 1,105.25 and 446.91 is: 616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.00 : 1,105.25 = 446.91 : x
  2. Step 2: Convert to fraction form
    801.00/1,105.25 = 446.91/x
  3. Step 3: Cross multiply
    801.00x = 1,105.25 × 446.91
  4. Step 4: Simplify right side
    801.00x = 493,950.91
  5. Step 5: Solve for x
    x = 493,950.91/801.00
  6. Step 6: Final answer
    x = 616.67

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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.