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Finding the Fourth Proportional to 1,912.74, 2,869.20 and 597.39

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Solution

The fourth proportional to 1,912.74, 2,869.20 and 597.39 is: 896.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.74 : 2,869.20 = 597.39 : x
  2. Step 2: Convert to fraction form
    1,912.74/2,869.20 = 597.39/x
  3. Step 3: Cross multiply
    1,912.74x = 2,869.20 × 597.39
  4. Step 4: Simplify right side
    1,912.74x = 1,714,031.39
  5. Step 5: Solve for x
    x = 1,714,031.39/1,912.74
  6. Step 6: Final answer
    x = 896.11

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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.