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Finding the Fourth Proportional to 709.97, 1,056.96 and 706.52

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Solution

The fourth proportional to 709.97, 1,056.96 and 706.52 is: 1,051.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.97 : 1,056.96 = 706.52 : x
  2. Step 2: Convert to fraction form
    709.97/1,056.96 = 706.52/x
  3. Step 3: Cross multiply
    709.97x = 1,056.96 × 706.52
  4. Step 4: Simplify right side
    709.97x = 746,766.02
  5. Step 5: Solve for x
    x = 746,766.02/709.97
  6. Step 6: Final answer
    x = 1,051.83

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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.