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Finding the Fourth Proportional to 1,016.12, 1,523.55 and 438.50

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Solution

The fourth proportional to 1,016.12, 1,523.55 and 438.50 is: 657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.12 : 1,523.55 = 438.50 : x
  2. Step 2: Convert to fraction form
    1,016.12/1,523.55 = 438.50/x
  3. Step 3: Cross multiply
    1,016.12x = 1,523.55 × 438.50
  4. Step 4: Simplify right side
    1,016.12x = 668,076.68
  5. Step 5: Solve for x
    x = 668,076.68/1,016.12
  6. Step 6: Final answer
    x = 657.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.