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Finding the Fourth Proportional to 1,339.85, 2,009.96 and 415.47

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Solution

The fourth proportional to 1,339.85, 2,009.96 and 415.47 is: 623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.85 : 2,009.96 = 415.47 : x
  2. Step 2: Convert to fraction form
    1,339.85/2,009.96 = 415.47/x
  3. Step 3: Cross multiply
    1,339.85x = 2,009.96 × 415.47
  4. Step 4: Simplify right side
    1,339.85x = 835,076.00
  5. Step 5: Solve for x
    x = 835,076.00/1,339.85
  6. Step 6: Final answer
    x = 623.26

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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.