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Finding the Fourth Proportional to 676.88, 931.67 and 480.05

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Solution

The fourth proportional to 676.88, 931.67 and 480.05 is: 660.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.88 : 931.67 = 480.05 : x
  2. Step 2: Convert to fraction form
    676.88/931.67 = 480.05/x
  3. Step 3: Cross multiply
    676.88x = 931.67 × 480.05
  4. Step 4: Simplify right side
    676.88x = 447,248.18
  5. Step 5: Solve for x
    x = 447,248.18/676.88
  6. Step 6: Final answer
    x = 660.75

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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.