Home / 1,589.10-2,384.10-614.94

Finding the Fourth Proportional to 1,589.10, 2,384.10 and 614.94

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Solution

The fourth proportional to 1,589.10, 2,384.10 and 614.94 is: 922.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.10 : 2,384.10 = 614.94 : x
  2. Step 2: Convert to fraction form
    1,589.10/2,384.10 = 614.94/x
  3. Step 3: Cross multiply
    1,589.10x = 2,384.10 × 614.94
  4. Step 4: Simplify right side
    1,589.10x = 1,466,078.45
  5. Step 5: Solve for x
    x = 1,466,078.45/1,589.10
  6. Step 6: Final answer
    x = 922.58

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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.