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Finding the Fourth Proportional to 677.32, 934.30 and 441.16

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Solution

The fourth proportional to 677.32, 934.30 and 441.16 is: 608.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.32 : 934.30 = 441.16 : x
  2. Step 2: Convert to fraction form
    677.32/934.30 = 441.16/x
  3. Step 3: Cross multiply
    677.32x = 934.30 × 441.16
  4. Step 4: Simplify right side
    677.32x = 412,175.79
  5. Step 5: Solve for x
    x = 412,175.79/677.32
  6. Step 6: Final answer
    x = 608.54

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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.