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Finding the Fourth Proportional to 1,130.13, 1,697.13 and 1,085.97

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Solution

The fourth proportional to 1,130.13, 1,697.13 and 1,085.97 is: 1,630.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.13 : 1,697.13 = 1,085.97 : x
  2. Step 2: Convert to fraction form
    1,130.13/1,697.13 = 1,085.97/x
  3. Step 3: Cross multiply
    1,130.13x = 1,697.13 × 1,085.97
  4. Step 4: Simplify right side
    1,130.13x = 1,843,032.27
  5. Step 5: Solve for x
    x = 1,843,032.27/1,130.13
  6. Step 6: Final answer
    x = 1,630.81

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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.