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Finding the Fourth Proportional to 983.23, 1,355.74 and 758.66

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Solution

The fourth proportional to 983.23, 1,355.74 and 758.66 is: 1,046.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.23 : 1,355.74 = 758.66 : x
  2. Step 2: Convert to fraction form
    983.23/1,355.74 = 758.66/x
  3. Step 3: Cross multiply
    983.23x = 1,355.74 × 758.66
  4. Step 4: Simplify right side
    983.23x = 1,028,537.03
  5. Step 5: Solve for x
    x = 1,028,537.03/983.23
  6. Step 6: Final answer
    x = 1,046.08

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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.