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Finding the Fourth Proportional to 983.68, 1,476.33 and 406.96

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Solution

The fourth proportional to 983.68, 1,476.33 and 406.96 is: 610.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.68 : 1,476.33 = 406.96 : x
  2. Step 2: Convert to fraction form
    983.68/1,476.33 = 406.96/x
  3. Step 3: Cross multiply
    983.68x = 1,476.33 × 406.96
  4. Step 4: Simplify right side
    983.68x = 600,803.57
  5. Step 5: Solve for x
    x = 600,803.57/983.68
  6. Step 6: Final answer
    x = 610.77

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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.