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Finding the Fourth Proportional to 677.76, 934.88 and 445.12

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Solution

The fourth proportional to 677.76, 934.88 and 445.12 is: 613.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.76 : 934.88 = 445.12 : x
  2. Step 2: Convert to fraction form
    677.76/934.88 = 445.12/x
  3. Step 3: Cross multiply
    677.76x = 934.88 × 445.12
  4. Step 4: Simplify right side
    677.76x = 416,133.79
  5. Step 5: Solve for x
    x = 416,133.79/677.76
  6. Step 6: Final answer
    x = 613.98

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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.