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Finding the Fourth Proportional to 562.94, 845.32 and 347.88

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Solution

The fourth proportional to 562.94, 845.32 and 347.88 is: 522.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.94 : 845.32 = 347.88 : x
  2. Step 2: Convert to fraction form
    562.94/845.32 = 347.88/x
  3. Step 3: Cross multiply
    562.94x = 845.32 × 347.88
  4. Step 4: Simplify right side
    562.94x = 294,069.92
  5. Step 5: Solve for x
    x = 294,069.92/562.94
  6. Step 6: Final answer
    x = 522.38

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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.