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Finding the Fourth Proportional to 1,129.38, 1,697.41 and 935.62

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Solution

The fourth proportional to 1,129.38, 1,697.41 and 935.62 is: 1,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.38 : 1,697.41 = 935.62 : x
  2. Step 2: Convert to fraction form
    1,129.38/1,697.41 = 935.62/x
  3. Step 3: Cross multiply
    1,129.38x = 1,697.41 × 935.62
  4. Step 4: Simplify right side
    1,129.38x = 1,588,134.04
  5. Step 5: Solve for x
    x = 1,588,134.04/1,129.38
  6. Step 6: Final answer
    x = 1,406.20

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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.