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Finding the Fourth Proportional to 820.64, 1,133.34 and 709.58

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Solution

The fourth proportional to 820.64, 1,133.34 and 709.58 is: 979.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.64 : 1,133.34 = 709.58 : x
  2. Step 2: Convert to fraction form
    820.64/1,133.34 = 709.58/x
  3. Step 3: Cross multiply
    820.64x = 1,133.34 × 709.58
  4. Step 4: Simplify right side
    820.64x = 804,195.40
  5. Step 5: Solve for x
    x = 804,195.40/820.64
  6. Step 6: Final answer
    x = 979.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.