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Finding the Fourth Proportional to 1,170.62, 1,615.29 and 983.64

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Solution

The fourth proportional to 1,170.62, 1,615.29 and 983.64 is: 1,357.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.62 : 1,615.29 = 983.64 : x
  2. Step 2: Convert to fraction form
    1,170.62/1,615.29 = 983.64/x
  3. Step 3: Cross multiply
    1,170.62x = 1,615.29 × 983.64
  4. Step 4: Simplify right side
    1,170.62x = 1,588,863.86
  5. Step 5: Solve for x
    x = 1,588,863.86/1,170.62
  6. Step 6: Final answer
    x = 1,357.29

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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.