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Finding the Fourth Proportional to 2,470.43, 3,706.29 and 739.06

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Solution

The fourth proportional to 2,470.43, 3,706.29 and 739.06 is: 1,108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.43 : 3,706.29 = 739.06 : x
  2. Step 2: Convert to fraction form
    2,470.43/3,706.29 = 739.06/x
  3. Step 3: Cross multiply
    2,470.43x = 3,706.29 × 739.06
  4. Step 4: Simplify right side
    2,470.43x = 2,739,152.16
  5. Step 5: Solve for x
    x = 2,739,152.16/2,470.43
  6. Step 6: Final answer
    x = 1,108.78

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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.