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Finding the Fourth Proportional to 1,242.91, 1,861.93 and 693.43

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Solution

The fourth proportional to 1,242.91, 1,861.93 and 693.43 is: 1,038.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.91 : 1,861.93 = 693.43 : x
  2. Step 2: Convert to fraction form
    1,242.91/1,861.93 = 693.43/x
  3. Step 3: Cross multiply
    1,242.91x = 1,861.93 × 693.43
  4. Step 4: Simplify right side
    1,242.91x = 1,291,118.12
  5. Step 5: Solve for x
    x = 1,291,118.12/1,242.91
  6. Step 6: Final answer
    x = 1,038.79

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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.