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Finding the Fourth Proportional to 801.76, 1,202.46 and 459.76

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Solution

The fourth proportional to 801.76, 1,202.46 and 459.76 is: 689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.76 : 1,202.46 = 459.76 : x
  2. Step 2: Convert to fraction form
    801.76/1,202.46 = 459.76/x
  3. Step 3: Cross multiply
    801.76x = 1,202.46 × 459.76
  4. Step 4: Simplify right side
    801.76x = 552,843.01
  5. Step 5: Solve for x
    x = 552,843.01/801.76
  6. Step 6: Final answer
    x = 689.54

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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.