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Finding the Fourth Proportional to 656.47, 984.57 and 327.07

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Solution

The fourth proportional to 656.47, 984.57 and 327.07 is: 490.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.47 : 984.57 = 327.07 : x
  2. Step 2: Convert to fraction form
    656.47/984.57 = 327.07/x
  3. Step 3: Cross multiply
    656.47x = 984.57 × 327.07
  4. Step 4: Simplify right side
    656.47x = 322,023.31
  5. Step 5: Solve for x
    x = 322,023.31/656.47
  6. Step 6: Final answer
    x = 490.54

Related Problems

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.