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Finding the Fourth Proportional to 562.56, 843.12 and 538.08

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Solution

The fourth proportional to 562.56, 843.12 and 538.08 is: 806.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.56 : 843.12 = 538.08 : x
  2. Step 2: Convert to fraction form
    562.56/843.12 = 538.08/x
  3. Step 3: Cross multiply
    562.56x = 843.12 × 538.08
  4. Step 4: Simplify right side
    562.56x = 453,666.01
  5. Step 5: Solve for x
    x = 453,666.01/562.56
  6. Step 6: Final answer
    x = 806.43

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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.