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Finding the Fourth Proportional to 666.49, 999.89 and 291.31

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Solution

The fourth proportional to 666.49, 999.89 and 291.31 is: 437.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.49 : 999.89 = 291.31 : x
  2. Step 2: Convert to fraction form
    666.49/999.89 = 291.31/x
  3. Step 3: Cross multiply
    666.49x = 999.89 × 291.31
  4. Step 4: Simplify right side
    666.49x = 291,277.96
  5. Step 5: Solve for x
    x = 291,277.96/666.49
  6. Step 6: Final answer
    x = 437.03

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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.