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Finding the Fourth Proportional to 1,240.75, 1,861.26 and 471.25

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Solution

The fourth proportional to 1,240.75, 1,861.26 and 471.25 is: 706.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.75 : 1,861.26 = 471.25 : x
  2. Step 2: Convert to fraction form
    1,240.75/1,861.26 = 471.25/x
  3. Step 3: Cross multiply
    1,240.75x = 1,861.26 × 471.25
  4. Step 4: Simplify right side
    1,240.75x = 877,118.78
  5. Step 5: Solve for x
    x = 877,118.78/1,240.75
  6. Step 6: Final answer
    x = 706.93

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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.