Home / 1,161.19-1,741.46-328.20

Finding the Fourth Proportional to 1,161.19, 1,741.46 and 328.20

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Solution

The fourth proportional to 1,161.19, 1,741.46 and 328.20 is: 492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.19 : 1,741.46 = 328.20 : x
  2. Step 2: Convert to fraction form
    1,161.19/1,741.46 = 328.20/x
  3. Step 3: Cross multiply
    1,161.19x = 1,741.46 × 328.20
  4. Step 4: Simplify right side
    1,161.19x = 571,547.17
  5. Step 5: Solve for x
    x = 571,547.17/1,161.19
  6. Step 6: Final answer
    x = 492.21

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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.