Home / 1,161.08-1,741.61-283.59

Finding the Fourth Proportional to 1,161.08, 1,741.61 and 283.59

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Solution

The fourth proportional to 1,161.08, 1,741.61 and 283.59 is: 425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.08 : 1,741.61 = 283.59 : x
  2. Step 2: Convert to fraction form
    1,161.08/1,741.61 = 283.59/x
  3. Step 3: Cross multiply
    1,161.08x = 1,741.61 × 283.59
  4. Step 4: Simplify right side
    1,161.08x = 493,895.46
  5. Step 5: Solve for x
    x = 493,895.46/1,161.08
  6. Step 6: Final answer
    x = 425.38

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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.