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Finding the Fourth Proportional to 677.11, 933.78 and 424.73

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Solution

The fourth proportional to 677.11, 933.78 and 424.73 is: 585.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.11 : 933.78 = 424.73 : x
  2. Step 2: Convert to fraction form
    677.11/933.78 = 424.73/x
  3. Step 3: Cross multiply
    677.11x = 933.78 × 424.73
  4. Step 4: Simplify right side
    677.11x = 396,604.38
  5. Step 5: Solve for x
    x = 396,604.38/677.11
  6. Step 6: Final answer
    x = 585.73

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Half scale
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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.