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Finding the Fourth Proportional to 1,274.29, 1,911.26 and 624.85

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Solution

The fourth proportional to 1,274.29, 1,911.26 and 624.85 is: 937.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.29 : 1,911.26 = 624.85 : x
  2. Step 2: Convert to fraction form
    1,274.29/1,911.26 = 624.85/x
  3. Step 3: Cross multiply
    1,274.29x = 1,911.26 × 624.85
  4. Step 4: Simplify right side
    1,274.29x = 1,194,247.69
  5. Step 5: Solve for x
    x = 1,194,247.69/1,274.29
  6. Step 6: Final answer
    x = 937.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.