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Finding the Fourth Proportional to 1,339.81, 2,009.50 and 365.99

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Solution

The fourth proportional to 1,339.81, 2,009.50 and 365.99 is: 548.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.81 : 2,009.50 = 365.99 : x
  2. Step 2: Convert to fraction form
    1,339.81/2,009.50 = 365.99/x
  3. Step 3: Cross multiply
    1,339.81x = 2,009.50 × 365.99
  4. Step 4: Simplify right side
    1,339.81x = 735,456.91
  5. Step 5: Solve for x
    x = 735,456.91/1,339.81
  6. Step 6: Final answer
    x = 548.93

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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.