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Finding the Fourth Proportional to 1,615.98, 2,424.09 and 461.82

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Solution

The fourth proportional to 1,615.98, 2,424.09 and 461.82 is: 692.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.98 : 2,424.09 = 461.82 : x
  2. Step 2: Convert to fraction form
    1,615.98/2,424.09 = 461.82/x
  3. Step 3: Cross multiply
    1,615.98x = 2,424.09 × 461.82
  4. Step 4: Simplify right side
    1,615.98x = 1,119,493.24
  5. Step 5: Solve for x
    x = 1,119,493.24/1,615.98
  6. Step 6: Final answer
    x = 692.76

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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.