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Finding the Fourth Proportional to 801.04, 1,202.10 and 512.68

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Solution

The fourth proportional to 801.04, 1,202.10 and 512.68 is: 769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.04 : 1,202.10 = 512.68 : x
  2. Step 2: Convert to fraction form
    801.04/1,202.10 = 512.68/x
  3. Step 3: Cross multiply
    801.04x = 1,202.10 × 512.68
  4. Step 4: Simplify right side
    801.04x = 616,292.63
  5. Step 5: Solve for x
    x = 616,292.63/801.04
  6. Step 6: Final answer
    x = 769.37

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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.