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Finding the Fourth Proportional to 1,289.42, 1,930.64 and 898.19

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Solution

The fourth proportional to 1,289.42, 1,930.64 and 898.19 is: 1,344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.42 : 1,930.64 = 898.19 : x
  2. Step 2: Convert to fraction form
    1,289.42/1,930.64 = 898.19/x
  3. Step 3: Cross multiply
    1,289.42x = 1,930.64 × 898.19
  4. Step 4: Simplify right side
    1,289.42x = 1,734,074.64
  5. Step 5: Solve for x
    x = 1,734,074.64/1,289.42
  6. Step 6: Final answer
    x = 1,344.85

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Why These Related Problems?

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