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Finding the Fourth Proportional to 412.54, 565.84 and 363.34

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Solution

The fourth proportional to 412.54, 565.84 and 363.34 is: 498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.54 : 565.84 = 363.34 : x
  2. Step 2: Convert to fraction form
    412.54/565.84 = 363.34/x
  3. Step 3: Cross multiply
    412.54x = 565.84 × 363.34
  4. Step 4: Simplify right side
    412.54x = 205,588.24
  5. Step 5: Solve for x
    x = 205,588.24/412.54
  6. Step 6: Final answer
    x = 498.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.