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Finding the Fourth Proportional to 678.81, 934.35 and 481.98

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Solution

The fourth proportional to 678.81, 934.35 and 481.98 is: 663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.81 : 934.35 = 481.98 : x
  2. Step 2: Convert to fraction form
    678.81/934.35 = 481.98/x
  3. Step 3: Cross multiply
    678.81x = 934.35 × 481.98
  4. Step 4: Simplify right side
    678.81x = 450,338.01
  5. Step 5: Solve for x
    x = 450,338.01/678.81
  6. Step 6: Final answer
    x = 663.42

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Double scale
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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.