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Finding the Fourth Proportional to 564.65, 779.97 and 454.55

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Solution

The fourth proportional to 564.65, 779.97 and 454.55 is: 627.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.65 : 779.97 = 454.55 : x
  2. Step 2: Convert to fraction form
    564.65/779.97 = 454.55/x
  3. Step 3: Cross multiply
    564.65x = 779.97 × 454.55
  4. Step 4: Simplify right side
    564.65x = 354,531.46
  5. Step 5: Solve for x
    x = 354,531.46/564.65
  6. Step 6: Final answer
    x = 627.88

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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.