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Finding the Fourth Proportional to 626.32, 863.66 and 538.09

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Solution

The fourth proportional to 626.32, 863.66 and 538.09 is: 742.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.32 : 863.66 = 538.09 : x
  2. Step 2: Convert to fraction form
    626.32/863.66 = 538.09/x
  3. Step 3: Cross multiply
    626.32x = 863.66 × 538.09
  4. Step 4: Simplify right side
    626.32x = 464,726.81
  5. Step 5: Solve for x
    x = 464,726.81/626.32
  6. Step 6: Final answer
    x = 742.00

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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.