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Finding the Fourth Proportional to 1,242.01, 1,861.85 and 419.71

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Solution

The fourth proportional to 1,242.01, 1,861.85 and 419.71 is: 629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.01 : 1,861.85 = 419.71 : x
  2. Step 2: Convert to fraction form
    1,242.01/1,861.85 = 419.71/x
  3. Step 3: Cross multiply
    1,242.01x = 1,861.85 × 419.71
  4. Step 4: Simplify right side
    1,242.01x = 781,437.06
  5. Step 5: Solve for x
    x = 781,437.06/1,242.01
  6. Step 6: Final answer
    x = 629.17

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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.