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Finding the Fourth Proportional to 565.78, 780.61 and 447.39

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Solution

The fourth proportional to 565.78, 780.61 and 447.39 is: 617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.78 : 780.61 = 447.39 : x
  2. Step 2: Convert to fraction form
    565.78/780.61 = 447.39/x
  3. Step 3: Cross multiply
    565.78x = 780.61 × 447.39
  4. Step 4: Simplify right side
    565.78x = 349,237.11
  5. Step 5: Solve for x
    x = 349,237.11/565.78
  6. Step 6: Final answer
    x = 617.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.