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Finding the Fourth Proportional to 1,679, 2,317.14 and 932.96

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Solution

The fourth proportional to 1,679, 2,317.14 and 932.96 is: 1,287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679 : 2,317.14 = 932.96 : x
  2. Step 2: Convert to fraction form
    1,679/2,317.14 = 932.96/x
  3. Step 3: Cross multiply
    1,679x = 2,317.14 × 932.96
  4. Step 4: Simplify right side
    1,679x = 2,161,798.93
  5. Step 5: Solve for x
    x = 2,161,798.93/1,679
  6. Step 6: Final answer
    x = 1,287.55

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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.