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Finding the Fourth Proportional to 1,121.02, 1,679.90 and 708.86

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Solution

The fourth proportional to 1,121.02, 1,679.90 and 708.86 is: 1,062.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.02 : 1,679.90 = 708.86 : x
  2. Step 2: Convert to fraction form
    1,121.02/1,679.90 = 708.86/x
  3. Step 3: Cross multiply
    1,121.02x = 1,679.90 × 708.86
  4. Step 4: Simplify right side
    1,121.02x = 1,190,813.91
  5. Step 5: Solve for x
    x = 1,190,813.91/1,121.02
  6. Step 6: Final answer
    x = 1,062.26

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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.