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Finding the Fourth Proportional to 898.82, 1,346.08 and 609.38

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Solution

The fourth proportional to 898.82, 1,346.08 and 609.38 is: 912.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.82 : 1,346.08 = 609.38 : x
  2. Step 2: Convert to fraction form
    898.82/1,346.08 = 609.38/x
  3. Step 3: Cross multiply
    898.82x = 1,346.08 × 609.38
  4. Step 4: Simplify right side
    898.82x = 820,274.23
  5. Step 5: Solve for x
    x = 820,274.23/898.82
  6. Step 6: Final answer
    x = 912.61

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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.