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Finding the Fourth Proportional to 983.18, 1,473.57 and 659.18

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Solution

The fourth proportional to 983.18, 1,473.57 and 659.18 is: 987.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.18 : 1,473.57 = 659.18 : x
  2. Step 2: Convert to fraction form
    983.18/1,473.57 = 659.18/x
  3. Step 3: Cross multiply
    983.18x = 1,473.57 × 659.18
  4. Step 4: Simplify right side
    983.18x = 971,347.87
  5. Step 5: Solve for x
    x = 971,347.87/983.18
  6. Step 6: Final answer
    x = 987.97

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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.