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Finding the Fourth Proportional to 1,339.34, 2,008.44 and 414.70

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Solution

The fourth proportional to 1,339.34, 2,008.44 and 414.70 is: 621.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.34 : 2,008.44 = 414.70 : x
  2. Step 2: Convert to fraction form
    1,339.34/2,008.44 = 414.70/x
  3. Step 3: Cross multiply
    1,339.34x = 2,008.44 × 414.70
  4. Step 4: Simplify right side
    1,339.34x = 832,900.07
  5. Step 5: Solve for x
    x = 832,900.07/1,339.34
  6. Step 6: Final answer
    x = 621.87

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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.