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Finding the Fourth Proportional to 1,190.38, 1,643.32 and 817.50

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Solution

The fourth proportional to 1,190.38, 1,643.32 and 817.50 is: 1,128.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.38 : 1,643.32 = 817.50 : x
  2. Step 2: Convert to fraction form
    1,190.38/1,643.32 = 817.50/x
  3. Step 3: Cross multiply
    1,190.38x = 1,643.32 × 817.50
  4. Step 4: Simplify right side
    1,190.38x = 1,343,414.10
  5. Step 5: Solve for x
    x = 1,343,414.10/1,190.38
  6. Step 6: Final answer
    x = 1,128.56

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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.