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Finding the Fourth Proportional to 564.88, 778.94 and 417.82

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Solution

The fourth proportional to 564.88, 778.94 and 417.82 is: 576.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.88 : 778.94 = 417.82 : x
  2. Step 2: Convert to fraction form
    564.88/778.94 = 417.82/x
  3. Step 3: Cross multiply
    564.88x = 778.94 × 417.82
  4. Step 4: Simplify right side
    564.88x = 325,456.71
  5. Step 5: Solve for x
    x = 325,456.71/564.88
  6. Step 6: Final answer
    x = 576.15

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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.