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Finding the Fourth Proportional to 983.48, 1,474.92 and 325.24

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Solution

The fourth proportional to 983.48, 1,474.92 and 325.24 is: 487.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.48 : 1,474.92 = 325.24 : x
  2. Step 2: Convert to fraction form
    983.48/1,474.92 = 325.24/x
  3. Step 3: Cross multiply
    983.48x = 1,474.92 × 325.24
  4. Step 4: Simplify right side
    983.48x = 479,699.29
  5. Step 5: Solve for x
    x = 479,699.29/983.48
  6. Step 6: Final answer
    x = 487.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.