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Finding the Fourth Proportional to 677.21, 934.09 and 480.38

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Solution

The fourth proportional to 677.21, 934.09 and 480.38 is: 662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.21 : 934.09 = 480.38 : x
  2. Step 2: Convert to fraction form
    677.21/934.09 = 480.38/x
  3. Step 3: Cross multiply
    677.21x = 934.09 × 480.38
  4. Step 4: Simplify right side
    677.21x = 448,714.08
  5. Step 5: Solve for x
    x = 448,714.08/677.21
  6. Step 6: Final answer
    x = 662.60

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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.