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Finding the Fourth Proportional to 626.53, 864.32 and 405.55

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Solution

The fourth proportional to 626.53, 864.32 and 405.55 is: 559.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.53 : 864.32 = 405.55 : x
  2. Step 2: Convert to fraction form
    626.53/864.32 = 405.55/x
  3. Step 3: Cross multiply
    626.53x = 864.32 × 405.55
  4. Step 4: Simplify right side
    626.53x = 350,524.98
  5. Step 5: Solve for x
    x = 350,524.98/626.53
  6. Step 6: Final answer
    x = 559.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.