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Finding the Fourth Proportional to 1,240.68, 1,861.95 and 461.40

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Solution

The fourth proportional to 1,240.68, 1,861.95 and 461.40 is: 692.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.68 : 1,861.95 = 461.40 : x
  2. Step 2: Convert to fraction form
    1,240.68/1,861.95 = 461.40/x
  3. Step 3: Cross multiply
    1,240.68x = 1,861.95 × 461.40
  4. Step 4: Simplify right side
    1,240.68x = 859,103.73
  5. Step 5: Solve for x
    x = 859,103.73/1,240.68
  6. Step 6: Final answer
    x = 692.45

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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.