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Finding the Fourth Proportional to 800.17, 1,199.66 and 539.53

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Solution

The fourth proportional to 800.17, 1,199.66 and 539.53 is: 808.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.17 : 1,199.66 = 539.53 : x
  2. Step 2: Convert to fraction form
    800.17/1,199.66 = 539.53/x
  3. Step 3: Cross multiply
    800.17x = 1,199.66 × 539.53
  4. Step 4: Simplify right side
    800.17x = 647,252.56
  5. Step 5: Solve for x
    x = 647,252.56/800.17
  6. Step 6: Final answer
    x = 808.89

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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.