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Finding the Fourth Proportional to 561.97, 843.14 and 287.99

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Solution

The fourth proportional to 561.97, 843.14 and 287.99 is: 432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.97 : 843.14 = 287.99 : x
  2. Step 2: Convert to fraction form
    561.97/843.14 = 287.99/x
  3. Step 3: Cross multiply
    561.97x = 843.14 × 287.99
  4. Step 4: Simplify right side
    561.97x = 242,815.89
  5. Step 5: Solve for x
    x = 242,815.89/561.97
  6. Step 6: Final answer
    x = 432.08

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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.