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Finding the Fourth Proportional to 999.11, 1,497.29 and 952.63

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Solution

The fourth proportional to 999.11, 1,497.29 and 952.63 is: 1,427.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.11 : 1,497.29 = 952.63 : x
  2. Step 2: Convert to fraction form
    999.11/1,497.29 = 952.63/x
  3. Step 3: Cross multiply
    999.11x = 1,497.29 × 952.63
  4. Step 4: Simplify right side
    999.11x = 1,426,354.87
  5. Step 5: Solve for x
    x = 1,426,354.87/999.11
  6. Step 6: Final answer
    x = 1,427.62

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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.