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Finding the Fourth Proportional to 562.07, 843.12 and 287.79

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Solution

The fourth proportional to 562.07, 843.12 and 287.79 is: 431.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.07 : 843.12 = 287.79 : x
  2. Step 2: Convert to fraction form
    562.07/843.12 = 287.79/x
  3. Step 3: Cross multiply
    562.07x = 843.12 × 287.79
  4. Step 4: Simplify right side
    562.07x = 242,641.50
  5. Step 5: Solve for x
    x = 242,641.50/562.07
  6. Step 6: Final answer
    x = 431.69

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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.