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Finding the Fourth Proportional to 488.54, 675.47 and 402.68

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Solution

The fourth proportional to 488.54, 675.47 and 402.68 is: 556.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.54 : 675.47 = 402.68 : x
  2. Step 2: Convert to fraction form
    488.54/675.47 = 402.68/x
  3. Step 3: Cross multiply
    488.54x = 675.47 × 402.68
  4. Step 4: Simplify right side
    488.54x = 271,996.25
  5. Step 5: Solve for x
    x = 271,996.25/488.54
  6. Step 6: Final answer
    x = 556.75

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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.