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Finding the Fourth Proportional to 706.59, 1,055.71 and 682.37

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Solution

The fourth proportional to 706.59, 1,055.71 and 682.37 is: 1,019.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.59 : 1,055.71 = 682.37 : x
  2. Step 2: Convert to fraction form
    706.59/1,055.71 = 682.37/x
  3. Step 3: Cross multiply
    706.59x = 1,055.71 × 682.37
  4. Step 4: Simplify right side
    706.59x = 720,380.53
  5. Step 5: Solve for x
    x = 720,380.53/706.59
  6. Step 6: Final answer
    x = 1,019.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.