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Finding the Fourth Proportional to 565.89, 849.47 and 427.79

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Solution

The fourth proportional to 565.89, 849.47 and 427.79 is: 642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.89 : 849.47 = 427.79 : x
  2. Step 2: Convert to fraction form
    565.89/849.47 = 427.79/x
  3. Step 3: Cross multiply
    565.89x = 849.47 × 427.79
  4. Step 4: Simplify right side
    565.89x = 363,388.39
  5. Step 5: Solve for x
    x = 363,388.39/565.89
  6. Step 6: Final answer
    x = 642.15

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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.