Home / 1,541.23-2,311.61-567.11

Finding the Fourth Proportional to 1,541.23, 2,311.61 and 567.11

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Solution

The fourth proportional to 1,541.23, 2,311.61 and 567.11 is: 850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.23 : 2,311.61 = 567.11 : x
  2. Step 2: Convert to fraction form
    1,541.23/2,311.61 = 567.11/x
  3. Step 3: Cross multiply
    1,541.23x = 2,311.61 × 567.11
  4. Step 4: Simplify right side
    1,541.23x = 1,310,934.31
  5. Step 5: Solve for x
    x = 1,310,934.31/1,541.23
  6. Step 6: Final answer
    x = 850.58

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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.