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Finding the Fourth Proportional to 1,679.24, 2,317.37 and 933.24

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Solution

The fourth proportional to 1,679.24, 2,317.37 and 933.24 is: 1,287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.24 : 2,317.37 = 933.24 : x
  2. Step 2: Convert to fraction form
    1,679.24/2,317.37 = 933.24/x
  3. Step 3: Cross multiply
    1,679.24x = 2,317.37 × 933.24
  4. Step 4: Simplify right side
    1,679.24x = 2,162,657.71
  5. Step 5: Solve for x
    x = 2,162,657.71/1,679.24
  6. Step 6: Final answer
    x = 1,287.88

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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.