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Finding the Fourth Proportional to 1,164.62, 1,753.87 and 1,050.38

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Solution

The fourth proportional to 1,164.62, 1,753.87 and 1,050.38 is: 1,581.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.62 : 1,753.87 = 1,050.38 : x
  2. Step 2: Convert to fraction form
    1,164.62/1,753.87 = 1,050.38/x
  3. Step 3: Cross multiply
    1,164.62x = 1,753.87 × 1,050.38
  4. Step 4: Simplify right side
    1,164.62x = 1,842,224.72
  5. Step 5: Solve for x
    x = 1,842,224.72/1,164.62
  6. Step 6: Final answer
    x = 1,581.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.