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Finding the Fourth Proportional to 924.31, 1,382.37 and 690.58

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Solution

The fourth proportional to 924.31, 1,382.37 and 690.58 is: 1,032.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.31 : 1,382.37 = 690.58 : x
  2. Step 2: Convert to fraction form
    924.31/1,382.37 = 690.58/x
  3. Step 3: Cross multiply
    924.31x = 1,382.37 × 690.58
  4. Step 4: Simplify right side
    924.31x = 954,628.44
  5. Step 5: Solve for x
    x = 954,628.44/924.31
  6. Step 6: Final answer
    x = 1,032.80

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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.