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Finding the Fourth Proportional to 1,161.04, 1,741.74 and 339.21

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Solution

The fourth proportional to 1,161.04, 1,741.74 and 339.21 is: 508.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.04 : 1,741.74 = 339.21 : x
  2. Step 2: Convert to fraction form
    1,161.04/1,741.74 = 339.21/x
  3. Step 3: Cross multiply
    1,161.04x = 1,741.74 × 339.21
  4. Step 4: Simplify right side
    1,161.04x = 590,815.63
  5. Step 5: Solve for x
    x = 590,815.63/1,161.04
  6. Step 6: Final answer
    x = 508.87

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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.