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Finding the Fourth Proportional to 565.78, 844.82 and 499.34

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Solution

The fourth proportional to 565.78, 844.82 and 499.34 is: 745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.78 : 844.82 = 499.34 : x
  2. Step 2: Convert to fraction form
    565.78/844.82 = 499.34/x
  3. Step 3: Cross multiply
    565.78x = 844.82 × 499.34
  4. Step 4: Simplify right side
    565.78x = 421,852.42
  5. Step 5: Solve for x
    x = 421,852.42/565.78
  6. Step 6: Final answer
    x = 745.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.