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Finding the Fourth Proportional to 709.34, 975.09 and 633.86

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Solution

The fourth proportional to 709.34, 975.09 and 633.86 is: 871.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.34 : 975.09 = 633.86 : x
  2. Step 2: Convert to fraction form
    709.34/975.09 = 633.86/x
  3. Step 3: Cross multiply
    709.34x = 975.09 × 633.86
  4. Step 4: Simplify right side
    709.34x = 618,065.67
  5. Step 5: Solve for x
    x = 618,065.67/709.34
  6. Step 6: Final answer
    x = 871.33

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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.