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Finding the Fourth Proportional to 1,699.28, 2,345.02 and 991.61

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Solution

The fourth proportional to 1,699.28, 2,345.02 and 991.61 is: 1,368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.28 : 2,345.02 = 991.61 : x
  2. Step 2: Convert to fraction form
    1,699.28/2,345.02 = 991.61/x
  3. Step 3: Cross multiply
    1,699.28x = 2,345.02 × 991.61
  4. Step 4: Simplify right side
    1,699.28x = 2,325,346.19
  5. Step 5: Solve for x
    x = 2,325,346.19/1,699.28
  6. Step 6: Final answer
    x = 1,368.43

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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.