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Finding the Fourth Proportional to 677.72, 936.10 and 490.92

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Solution

The fourth proportional to 677.72, 936.10 and 490.92 is: 678.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.72 : 936.10 = 490.92 : x
  2. Step 2: Convert to fraction form
    677.72/936.10 = 490.92/x
  3. Step 3: Cross multiply
    677.72x = 936.10 × 490.92
  4. Step 4: Simplify right side
    677.72x = 459,550.21
  5. Step 5: Solve for x
    x = 459,550.21/677.72
  6. Step 6: Final answer
    x = 678.08

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Half scale
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Double scale
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Similar ratio
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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.