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Finding the Fourth Proportional to 1,247.71, 1,720.83 and 1,098.01

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Solution

The fourth proportional to 1,247.71, 1,720.83 and 1,098.01 is: 1,514.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.71 : 1,720.83 = 1,098.01 : x
  2. Step 2: Convert to fraction form
    1,247.71/1,720.83 = 1,098.01/x
  3. Step 3: Cross multiply
    1,247.71x = 1,720.83 × 1,098.01
  4. Step 4: Simplify right side
    1,247.71x = 1,889,488.55
  5. Step 5: Solve for x
    x = 1,889,488.55/1,247.71
  6. Step 6: Final answer
    x = 1,514.37

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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.