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Finding the Fourth Proportional to 562.36, 843.72 and 470.84

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Solution

The fourth proportional to 562.36, 843.72 and 470.84 is: 706.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.36 : 843.72 = 470.84 : x
  2. Step 2: Convert to fraction form
    562.36/843.72 = 470.84/x
  3. Step 3: Cross multiply
    562.36x = 843.72 × 470.84
  4. Step 4: Simplify right side
    562.36x = 397,257.12
  5. Step 5: Solve for x
    x = 397,257.12/562.36
  6. Step 6: Final answer
    x = 706.41

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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.