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Finding the Fourth Proportional to 1,339.67, 2,009.64 and 415.36

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Solution

The fourth proportional to 1,339.67, 2,009.64 and 415.36 is: 623.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.67 : 2,009.64 = 415.36 : x
  2. Step 2: Convert to fraction form
    1,339.67/2,009.64 = 415.36/x
  3. Step 3: Cross multiply
    1,339.67x = 2,009.64 × 415.36
  4. Step 4: Simplify right side
    1,339.67x = 834,728.14
  5. Step 5: Solve for x
    x = 834,728.14/1,339.67
  6. Step 6: Final answer
    x = 623.08

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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.