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Finding the Fourth Proportional to 677.78, 934.98 and 428.67

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Solution

The fourth proportional to 677.78, 934.98 and 428.67 is: 591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.78 : 934.98 = 428.67 : x
  2. Step 2: Convert to fraction form
    677.78/934.98 = 428.67/x
  3. Step 3: Cross multiply
    677.78x = 934.98 × 428.67
  4. Step 4: Simplify right side
    677.78x = 400,797.88
  5. Step 5: Solve for x
    x = 400,797.88/677.78
  6. Step 6: Final answer
    x = 591.34

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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.