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Finding the Fourth Proportional to 1,242.19, 1,862.20 and 694.63

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Solution

The fourth proportional to 1,242.19, 1,862.20 and 694.63 is: 1,041.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.19 : 1,862.20 = 694.63 : x
  2. Step 2: Convert to fraction form
    1,242.19/1,862.20 = 694.63/x
  3. Step 3: Cross multiply
    1,242.19x = 1,862.20 × 694.63
  4. Step 4: Simplify right side
    1,242.19x = 1,293,527.20
  5. Step 5: Solve for x
    x = 1,293,527.20/1,242.19
  6. Step 6: Final answer
    x = 1,041.33

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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.