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Finding the Fourth Proportional to 487.52, 673.06 and 421.92

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Solution

The fourth proportional to 487.52, 673.06 and 421.92 is: 582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.52 : 673.06 = 421.92 : x
  2. Step 2: Convert to fraction form
    487.52/673.06 = 421.92/x
  3. Step 3: Cross multiply
    487.52x = 673.06 × 421.92
  4. Step 4: Simplify right side
    487.52x = 283,977.48
  5. Step 5: Solve for x
    x = 283,977.48/487.52
  6. Step 6: Final answer
    x = 582.49

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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.