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Finding the Fourth Proportional to 626.56, 864.64 and 350.56

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Solution

The fourth proportional to 626.56, 864.64 and 350.56 is: 483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.56 : 864.64 = 350.56 : x
  2. Step 2: Convert to fraction form
    626.56/864.64 = 350.56/x
  3. Step 3: Cross multiply
    626.56x = 864.64 × 350.56
  4. Step 4: Simplify right side
    626.56x = 303,108.20
  5. Step 5: Solve for x
    x = 303,108.20/626.56
  6. Step 6: Final answer
    x = 483.77

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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.