Home / 1,541.29-2,311.37-616.57

Finding the Fourth Proportional to 1,541.29, 2,311.37 and 616.57

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Solution

The fourth proportional to 1,541.29, 2,311.37 and 616.57 is: 924.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.29 : 2,311.37 = 616.57 : x
  2. Step 2: Convert to fraction form
    1,541.29/2,311.37 = 616.57/x
  3. Step 3: Cross multiply
    1,541.29x = 2,311.37 × 616.57
  4. Step 4: Simplify right side
    1,541.29x = 1,425,121.40
  5. Step 5: Solve for x
    x = 1,425,121.40/1,541.29
  6. Step 6: Final answer
    x = 924.63

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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.