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Finding the Fourth Proportional to 1,242.02, 1,861.74 and 420.02

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Solution

The fourth proportional to 1,242.02, 1,861.74 and 420.02 is: 629.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.02 : 1,861.74 = 420.02 : x
  2. Step 2: Convert to fraction form
    1,242.02/1,861.74 = 420.02/x
  3. Step 3: Cross multiply
    1,242.02x = 1,861.74 × 420.02
  4. Step 4: Simplify right side
    1,242.02x = 781,968.03
  5. Step 5: Solve for x
    x = 781,968.03/1,242.02
  6. Step 6: Final answer
    x = 629.59

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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.