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Finding the Fourth Proportional to 558.82, 843.24 and 536.35

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Solution

The fourth proportional to 558.82, 843.24 and 536.35 is: 809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.82 : 843.24 = 536.35 : x
  2. Step 2: Convert to fraction form
    558.82/843.24 = 536.35/x
  3. Step 3: Cross multiply
    558.82x = 843.24 × 536.35
  4. Step 4: Simplify right side
    558.82x = 452,264.88
  5. Step 5: Solve for x
    x = 452,264.88/558.82
  6. Step 6: Final answer
    x = 809.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.