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Finding the Fourth Proportional to 487.96, 677.88 and 482.20

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Solution

The fourth proportional to 487.96, 677.88 and 482.20 is: 669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.96 : 677.88 = 482.20 : x
  2. Step 2: Convert to fraction form
    487.96/677.88 = 482.20/x
  3. Step 3: Cross multiply
    487.96x = 677.88 × 482.20
  4. Step 4: Simplify right side
    487.96x = 326,873.74
  5. Step 5: Solve for x
    x = 326,873.74/487.96
  6. Step 6: Final answer
    x = 669.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.