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Finding the Fourth Proportional to 1,339.99, 2,009.80 and 415.57

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Solution

The fourth proportional to 1,339.99, 2,009.80 and 415.57 is: 623.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.99 : 2,009.80 = 415.57 : x
  2. Step 2: Convert to fraction form
    1,339.99/2,009.80 = 415.57/x
  3. Step 3: Cross multiply
    1,339.99x = 2,009.80 × 415.57
  4. Step 4: Simplify right side
    1,339.99x = 835,212.59
  5. Step 5: Solve for x
    x = 835,212.59/1,339.99
  6. Step 6: Final answer
    x = 623.30

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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.