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Finding the Fourth Proportional to 490.69, 677.24 and 291.56

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Solution

The fourth proportional to 490.69, 677.24 and 291.56 is: 402.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.69 : 677.24 = 291.56 : x
  2. Step 2: Convert to fraction form
    490.69/677.24 = 291.56/x
  3. Step 3: Cross multiply
    490.69x = 677.24 × 291.56
  4. Step 4: Simplify right side
    490.69x = 197,458.52
  5. Step 5: Solve for x
    x = 197,458.52/490.69
  6. Step 6: Final answer
    x = 402.41

Related Problems

Find fourth proportional to 245.34, 338.62 and 145.78
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.