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Finding the Fourth Proportional to 1,706.12, 2,557.05 and 731.09

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Solution

The fourth proportional to 1,706.12, 2,557.05 and 731.09 is: 1,095.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.12 : 2,557.05 = 731.09 : x
  2. Step 2: Convert to fraction form
    1,706.12/2,557.05 = 731.09/x
  3. Step 3: Cross multiply
    1,706.12x = 2,557.05 × 731.09
  4. Step 4: Simplify right side
    1,706.12x = 1,869,433.68
  5. Step 5: Solve for x
    x = 1,869,433.68/1,706.12
  6. Step 6: Final answer
    x = 1,095.72

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1.5x scale

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.