Home / 1,616.24-2,423.63-461.72

Finding the Fourth Proportional to 1,616.24, 2,423.63 and 461.72

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Solution

The fourth proportional to 1,616.24, 2,423.63 and 461.72 is: 692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.24 : 2,423.63 = 461.72 : x
  2. Step 2: Convert to fraction form
    1,616.24/2,423.63 = 461.72/x
  3. Step 3: Cross multiply
    1,616.24x = 2,423.63 × 461.72
  4. Step 4: Simplify right side
    1,616.24x = 1,119,045.66
  5. Step 5: Solve for x
    x = 1,119,045.66/1,616.24
  6. Step 6: Final answer
    x = 692.37

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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.