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Finding the Fourth Proportional to 562.09, 842.70 and 356.23

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Solution

The fourth proportional to 562.09, 842.70 and 356.23 is: 534.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.09 : 842.70 = 356.23 : x
  2. Step 2: Convert to fraction form
    562.09/842.70 = 356.23/x
  3. Step 3: Cross multiply
    562.09x = 842.70 × 356.23
  4. Step 4: Simplify right side
    562.09x = 300,195.02
  5. Step 5: Solve for x
    x = 300,195.02/562.09
  6. Step 6: Final answer
    x = 534.07

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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.