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Finding the Fourth Proportional to 1,228.10, 1,838.90 and 898.84

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Solution

The fourth proportional to 1,228.10, 1,838.90 and 898.84 is: 1,345.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.10 : 1,838.90 = 898.84 : x
  2. Step 2: Convert to fraction form
    1,228.10/1,838.90 = 898.84/x
  3. Step 3: Cross multiply
    1,228.10x = 1,838.90 × 898.84
  4. Step 4: Simplify right side
    1,228.10x = 1,652,876.88
  5. Step 5: Solve for x
    x = 1,652,876.88/1,228.10
  6. Step 6: Final answer
    x = 1,345.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.