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Finding the Fourth Proportional to 678.80, 935.40 and 481.76

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Solution

The fourth proportional to 678.80, 935.40 and 481.76 is: 663.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.80 : 935.40 = 481.76 : x
  2. Step 2: Convert to fraction form
    678.80/935.40 = 481.76/x
  3. Step 3: Cross multiply
    678.80x = 935.40 × 481.76
  4. Step 4: Simplify right side
    678.80x = 450,638.30
  5. Step 5: Solve for x
    x = 450,638.30/678.80
  6. Step 6: Final answer
    x = 663.87

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1.5x scale

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.