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Finding the Fourth Proportional to 843.64, 1,164.62 and 656.76

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Solution

The fourth proportional to 843.64, 1,164.62 and 656.76 is: 906.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.64 : 1,164.62 = 656.76 : x
  2. Step 2: Convert to fraction form
    843.64/1,164.62 = 656.76/x
  3. Step 3: Cross multiply
    843.64x = 1,164.62 × 656.76
  4. Step 4: Simplify right side
    843.64x = 764,875.83
  5. Step 5: Solve for x
    x = 764,875.83/843.64
  6. Step 6: Final answer
    x = 906.64

Related Problems

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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.