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Finding the Fourth Proportional to 983.42, 1,357.09 and 541.31

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Solution

The fourth proportional to 983.42, 1,357.09 and 541.31 is: 746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.42 : 1,357.09 = 541.31 : x
  2. Step 2: Convert to fraction form
    983.42/1,357.09 = 541.31/x
  3. Step 3: Cross multiply
    983.42x = 1,357.09 × 541.31
  4. Step 4: Simplify right side
    983.42x = 734,606.39
  5. Step 5: Solve for x
    x = 734,606.39/983.42
  6. Step 6: Final answer
    x = 746.99

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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.