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Finding the Fourth Proportional to 1,339.84, 2,009.74 and 365.94

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Solution

The fourth proportional to 1,339.84, 2,009.74 and 365.94 is: 548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.84 : 2,009.74 = 365.94 : x
  2. Step 2: Convert to fraction form
    1,339.84/2,009.74 = 365.94/x
  3. Step 3: Cross multiply
    1,339.84x = 2,009.74 × 365.94
  4. Step 4: Simplify right side
    1,339.84x = 735,444.26
  5. Step 5: Solve for x
    x = 735,444.26/1,339.84
  6. Step 6: Final answer
    x = 548.90

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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.