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Finding the Fourth Proportional to 564.43, 778.47 and 377.86

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Solution

The fourth proportional to 564.43, 778.47 and 377.86 is: 521.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.43 : 778.47 = 377.86 : x
  2. Step 2: Convert to fraction form
    564.43/778.47 = 377.86/x
  3. Step 3: Cross multiply
    564.43x = 778.47 × 377.86
  4. Step 4: Simplify right side
    564.43x = 294,148.78
  5. Step 5: Solve for x
    x = 294,148.78/564.43
  6. Step 6: Final answer
    x = 521.15

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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.