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Finding the Fourth Proportional to 1,706.71, 2,561.06 and 719.46

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Solution

The fourth proportional to 1,706.71, 2,561.06 and 719.46 is: 1,079.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.71 : 2,561.06 = 719.46 : x
  2. Step 2: Convert to fraction form
    1,706.71/2,561.06 = 719.46/x
  3. Step 3: Cross multiply
    1,706.71x = 2,561.06 × 719.46
  4. Step 4: Simplify right side
    1,706.71x = 1,842,576.63
  5. Step 5: Solve for x
    x = 1,842,576.63/1,706.71
  6. Step 6: Final answer
    x = 1,079.61

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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.