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Finding the Fourth Proportional to 668.52, 997.00 and 571.64

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Solution

The fourth proportional to 668.52, 997.00 and 571.64 is: 852.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.52 : 997.00 = 571.64 : x
  2. Step 2: Convert to fraction form
    668.52/997.00 = 571.64/x
  3. Step 3: Cross multiply
    668.52x = 997.00 × 571.64
  4. Step 4: Simplify right side
    668.52x = 569,918.67
  5. Step 5: Solve for x
    x = 569,918.67/668.52
  6. Step 6: Final answer
    x = 852.51

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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.