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Finding the Fourth Proportional to 564.98, 778.92 and 460.50

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Solution

The fourth proportional to 564.98, 778.92 and 460.50 is: 634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.98 : 778.92 = 460.50 : x
  2. Step 2: Convert to fraction form
    564.98/778.92 = 460.50/x
  3. Step 3: Cross multiply
    564.98x = 778.92 × 460.50
  4. Step 4: Simplify right side
    564.98x = 358,692.66
  5. Step 5: Solve for x
    x = 358,692.66/564.98
  6. Step 6: Final answer
    x = 634.88

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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.