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Finding the Fourth Proportional to 1,644.94, 2,270.04 and 898.93

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Solution

The fourth proportional to 1,644.94, 2,270.04 and 898.93 is: 1,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.94 : 2,270.04 = 898.93 : x
  2. Step 2: Convert to fraction form
    1,644.94/2,270.04 = 898.93/x
  3. Step 3: Cross multiply
    1,644.94x = 2,270.04 × 898.93
  4. Step 4: Simplify right side
    1,644.94x = 2,040,595.71
  5. Step 5: Solve for x
    x = 2,040,595.71/1,644.94
  6. Step 6: Final answer
    x = 1,240.53

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Why These Related Problems?

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