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Finding the Fourth Proportional to 664.16, 997.76 and 571.88

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Solution

The fourth proportional to 664.16, 997.76 and 571.88 is: 859.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.16 : 997.76 = 571.88 : x
  2. Step 2: Convert to fraction form
    664.16/997.76 = 571.88/x
  3. Step 3: Cross multiply
    664.16x = 997.76 × 571.88
  4. Step 4: Simplify right side
    664.16x = 570,602.91
  5. Step 5: Solve for x
    x = 570,602.91/664.16
  6. Step 6: Final answer
    x = 859.14

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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.