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Finding the Fourth Proportional to 677.14, 934.16 and 490.21

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Solution

The fourth proportional to 677.14, 934.16 and 490.21 is: 676.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.14 : 934.16 = 490.21 : x
  2. Step 2: Convert to fraction form
    677.14/934.16 = 490.21/x
  3. Step 3: Cross multiply
    677.14x = 934.16 × 490.21
  4. Step 4: Simplify right side
    677.14x = 457,929.79
  5. Step 5: Solve for x
    x = 457,929.79/677.14
  6. Step 6: Final answer
    x = 676.27

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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.