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Finding the Fourth Proportional to 656.16, 984.96 and 332.16

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Solution

The fourth proportional to 656.16, 984.96 and 332.16 is: 498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.16 : 984.96 = 332.16 : x
  2. Step 2: Convert to fraction form
    656.16/984.96 = 332.16/x
  3. Step 3: Cross multiply
    656.16x = 984.96 × 332.16
  4. Step 4: Simplify right side
    656.16x = 327,164.31
  5. Step 5: Solve for x
    x = 327,164.31/656.16
  6. Step 6: Final answer
    x = 498.60

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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.