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Finding the Fourth Proportional to 2,470.46, 3,705.69 and 715.47

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Solution

The fourth proportional to 2,470.46, 3,705.69 and 715.47 is: 1,073.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.46 : 3,705.69 = 715.47 : x
  2. Step 2: Convert to fraction form
    2,470.46/3,705.69 = 715.47/x
  3. Step 3: Cross multiply
    2,470.46x = 3,705.69 × 715.47
  4. Step 4: Simplify right side
    2,470.46x = 2,651,310.02
  5. Step 5: Solve for x
    x = 2,651,310.02/2,470.46
  6. Step 6: Final answer
    x = 1,073.21

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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.