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Finding the Fourth Proportional to 666.41, 997.29 and 536.09

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Solution

The fourth proportional to 666.41, 997.29 and 536.09 is: 802.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.41 : 997.29 = 536.09 : x
  2. Step 2: Convert to fraction form
    666.41/997.29 = 536.09/x
  3. Step 3: Cross multiply
    666.41x = 997.29 × 536.09
  4. Step 4: Simplify right side
    666.41x = 534,632.21
  5. Step 5: Solve for x
    x = 534,632.21/666.41
  6. Step 6: Final answer
    x = 802.26

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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.