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Finding the Fourth Proportional to 983.27, 1,475.81 and 496.66

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Solution

The fourth proportional to 983.27, 1,475.81 and 496.66 is: 745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.27 : 1,475.81 = 496.66 : x
  2. Step 2: Convert to fraction form
    983.27/1,475.81 = 496.66/x
  3. Step 3: Cross multiply
    983.27x = 1,475.81 × 496.66
  4. Step 4: Simplify right side
    983.27x = 732,971.48
  5. Step 5: Solve for x
    x = 732,971.48/983.27
  6. Step 6: Final answer
    x = 745.45

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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.