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Finding the Fourth Proportional to 624.80, 862.56 and 438.56

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Solution

The fourth proportional to 624.80, 862.56 and 438.56 is: 605.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.80 : 862.56 = 438.56 : x
  2. Step 2: Convert to fraction form
    624.80/862.56 = 438.56/x
  3. Step 3: Cross multiply
    624.80x = 862.56 × 438.56
  4. Step 4: Simplify right side
    624.80x = 378,284.31
  5. Step 5: Solve for x
    x = 378,284.31/624.80
  6. Step 6: Final answer
    x = 605.45

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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.