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Finding the Fourth Proportional to 562.05, 775.41 and 340.92

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Solution

The fourth proportional to 562.05, 775.41 and 340.92 is: 470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.05 : 775.41 = 340.92 : x
  2. Step 2: Convert to fraction form
    562.05/775.41 = 340.92/x
  3. Step 3: Cross multiply
    562.05x = 775.41 × 340.92
  4. Step 4: Simplify right side
    562.05x = 264,352.78
  5. Step 5: Solve for x
    x = 264,352.78/562.05
  6. Step 6: Final answer
    x = 470.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.