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Finding the Fourth Proportional to 808.98, 1,214.28 and 801.06

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Solution

The fourth proportional to 808.98, 1,214.28 and 801.06 is: 1,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.98 : 1,214.28 = 801.06 : x
  2. Step 2: Convert to fraction form
    808.98/1,214.28 = 801.06/x
  3. Step 3: Cross multiply
    808.98x = 1,214.28 × 801.06
  4. Step 4: Simplify right side
    808.98x = 972,711.14
  5. Step 5: Solve for x
    x = 972,711.14/808.98
  6. Step 6: Final answer
    x = 1,202.39

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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.