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Finding the Fourth Proportional to 1,339.07, 2,008.06 and 414.45

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Solution

The fourth proportional to 1,339.07, 2,008.06 and 414.45 is: 621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.07 : 2,008.06 = 414.45 : x
  2. Step 2: Convert to fraction form
    1,339.07/2,008.06 = 414.45/x
  3. Step 3: Cross multiply
    1,339.07x = 2,008.06 × 414.45
  4. Step 4: Simplify right side
    1,339.07x = 832,239.43
  5. Step 5: Solve for x
    x = 832,239.43/1,339.07
  6. Step 6: Final answer
    x = 621.51

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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.