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Finding the Fourth Proportional to 898.53, 1,340.81 and 806.60

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Solution

The fourth proportional to 898.53, 1,340.81 and 806.60 is: 1,203.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.53 : 1,340.81 = 806.60 : x
  2. Step 2: Convert to fraction form
    898.53/1,340.81 = 806.60/x
  3. Step 3: Cross multiply
    898.53x = 1,340.81 × 806.60
  4. Step 4: Simplify right side
    898.53x = 1,081,486.61
  5. Step 5: Solve for x
    x = 1,081,486.61/898.53
  6. Step 6: Final answer
    x = 1,203.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.