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Finding the Fourth Proportional to 1,299.17, 1,791.16 and 962.01

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Solution

The fourth proportional to 1,299.17, 1,791.16 and 962.01 is: 1,326.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.17 : 1,791.16 = 962.01 : x
  2. Step 2: Convert to fraction form
    1,299.17/1,791.16 = 962.01/x
  3. Step 3: Cross multiply
    1,299.17x = 1,791.16 × 962.01
  4. Step 4: Simplify right side
    1,299.17x = 1,723,111.43
  5. Step 5: Solve for x
    x = 1,723,111.43/1,299.17
  6. Step 6: Final answer
    x = 1,326.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.