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Finding the Fourth Proportional to 666.64, 998.12 and 569.12

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Solution

The fourth proportional to 666.64, 998.12 and 569.12 is: 852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.64 : 998.12 = 569.12 : x
  2. Step 2: Convert to fraction form
    666.64/998.12 = 569.12/x
  3. Step 3: Cross multiply
    666.64x = 998.12 × 569.12
  4. Step 4: Simplify right side
    666.64x = 568,050.05
  5. Step 5: Solve for x
    x = 568,050.05/666.64
  6. Step 6: Final answer
    x = 852.11

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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.