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Finding the Fourth Proportional to 443.52, 609.60 and 387.84

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Solution

The fourth proportional to 443.52, 609.60 and 387.84 is: 533.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.52 : 609.60 = 387.84 : x
  2. Step 2: Convert to fraction form
    443.52/609.60 = 387.84/x
  3. Step 3: Cross multiply
    443.52x = 609.60 × 387.84
  4. Step 4: Simplify right side
    443.52x = 236,427.26
  5. Step 5: Solve for x
    x = 236,427.26/443.52
  6. Step 6: Final answer
    x = 533.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.