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Finding the Fourth Proportional to 626.34, 864.36 and 393.60

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Solution

The fourth proportional to 626.34, 864.36 and 393.60 is: 543.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.34 : 864.36 = 393.60 : x
  2. Step 2: Convert to fraction form
    626.34/864.36 = 393.60/x
  3. Step 3: Cross multiply
    626.34x = 864.36 × 393.60
  4. Step 4: Simplify right side
    626.34x = 340,212.10
  5. Step 5: Solve for x
    x = 340,212.10/626.34
  6. Step 6: Final answer
    x = 543.17

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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.