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Finding the Fourth Proportional to 483.52, 725.24 and 438.16

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Solution

The fourth proportional to 483.52, 725.24 and 438.16 is: 657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.52 : 725.24 = 438.16 : x
  2. Step 2: Convert to fraction form
    483.52/725.24 = 438.16/x
  3. Step 3: Cross multiply
    483.52x = 725.24 × 438.16
  4. Step 4: Simplify right side
    483.52x = 317,771.16
  5. Step 5: Solve for x
    x = 317,771.16/483.52
  6. Step 6: Final answer
    x = 657.20

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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.