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Finding the Fourth Proportional to 1,359.11, 1,876.34 and 894.71

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Solution

The fourth proportional to 1,359.11, 1,876.34 and 894.71 is: 1,235.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.11 : 1,876.34 = 894.71 : x
  2. Step 2: Convert to fraction form
    1,359.11/1,876.34 = 894.71/x
  3. Step 3: Cross multiply
    1,359.11x = 1,876.34 × 894.71
  4. Step 4: Simplify right side
    1,359.11x = 1,678,773.02
  5. Step 5: Solve for x
    x = 1,678,773.02/1,359.11
  6. Step 6: Final answer
    x = 1,235.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.