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Finding the Fourth Proportional to 562.23, 842.40 and 399.11

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Solution

The fourth proportional to 562.23, 842.40 and 399.11 is: 597.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.23 : 842.40 = 399.11 : x
  2. Step 2: Convert to fraction form
    562.23/842.40 = 399.11/x
  3. Step 3: Cross multiply
    562.23x = 842.40 × 399.11
  4. Step 4: Simplify right side
    562.23x = 336,206.05
  5. Step 5: Solve for x
    x = 336,206.05/562.23
  6. Step 6: Final answer
    x = 597.99

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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.