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Finding the Fourth Proportional to 677.39, 934.85 and 378.70

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Solution

The fourth proportional to 677.39, 934.85 and 378.70 is: 522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.39 : 934.85 = 378.70 : x
  2. Step 2: Convert to fraction form
    677.39/934.85 = 378.70/x
  3. Step 3: Cross multiply
    677.39x = 934.85 × 378.70
  4. Step 4: Simplify right side
    677.39x = 354,027.70
  5. Step 5: Solve for x
    x = 354,027.70/677.39
  6. Step 6: Final answer
    x = 522.63

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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.