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Finding the Fourth Proportional to 830.92, 1,147.28 and 666.04

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Solution

The fourth proportional to 830.92, 1,147.28 and 666.04 is: 919.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.92 : 1,147.28 = 666.04 : x
  2. Step 2: Convert to fraction form
    830.92/1,147.28 = 666.04/x
  3. Step 3: Cross multiply
    830.92x = 1,147.28 × 666.04
  4. Step 4: Simplify right side
    830.92x = 764,134.37
  5. Step 5: Solve for x
    x = 764,134.37/830.92
  6. Step 6: Final answer
    x = 919.62

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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.