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Finding the Fourth Proportional to 666.72, 994.20 and 569.76

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Solution

The fourth proportional to 666.72, 994.20 and 569.76 is: 849.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.72 : 994.20 = 569.76 : x
  2. Step 2: Convert to fraction form
    666.72/994.20 = 569.76/x
  3. Step 3: Cross multiply
    666.72x = 994.20 × 569.76
  4. Step 4: Simplify right side
    666.72x = 566,455.39
  5. Step 5: Solve for x
    x = 566,455.39/666.72
  6. Step 6: Final answer
    x = 849.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.