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Finding the Fourth Proportional to 1,161.89, 1,741.49 and 431.00

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Solution

The fourth proportional to 1,161.89, 1,741.49 and 431.00 is: 646.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.89 : 1,741.49 = 431.00 : x
  2. Step 2: Convert to fraction form
    1,161.89/1,741.49 = 431.00/x
  3. Step 3: Cross multiply
    1,161.89x = 1,741.49 × 431.00
  4. Step 4: Simplify right side
    1,161.89x = 750,585.47
  5. Step 5: Solve for x
    x = 750,585.47/1,161.89
  6. Step 6: Final answer
    x = 646.00

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Double scale
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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.