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Finding the Fourth Proportional to 709.61, 970.83 and 706.52

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Solution

The fourth proportional to 709.61, 970.83 and 706.52 is: 966.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.61 : 970.83 = 706.52 : x
  2. Step 2: Convert to fraction form
    709.61/970.83 = 706.52/x
  3. Step 3: Cross multiply
    709.61x = 970.83 × 706.52
  4. Step 4: Simplify right side
    709.61x = 685,913.24
  5. Step 5: Solve for x
    x = 685,913.24/709.61
  6. Step 6: Final answer
    x = 966.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.