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Finding the Fourth Proportional to 801.99, 1,203.90 and 478.04

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Solution

The fourth proportional to 801.99, 1,203.90 and 478.04 is: 717.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.99 : 1,203.90 = 478.04 : x
  2. Step 2: Convert to fraction form
    801.99/1,203.90 = 478.04/x
  3. Step 3: Cross multiply
    801.99x = 1,203.90 × 478.04
  4. Step 4: Simplify right side
    801.99x = 575,515.37
  5. Step 5: Solve for x
    x = 575,515.37/801.99
  6. Step 6: Final answer
    x = 717.61

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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.