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Finding the Fourth Proportional to 803.92, 1,109.08 and 594.58

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Solution

The fourth proportional to 803.92, 1,109.08 and 594.58 is: 820.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.92 : 1,109.08 = 594.58 : x
  2. Step 2: Convert to fraction form
    803.92/1,109.08 = 594.58/x
  3. Step 3: Cross multiply
    803.92x = 1,109.08 × 594.58
  4. Step 4: Simplify right side
    803.92x = 659,436.79
  5. Step 5: Solve for x
    x = 659,436.79/803.92
  6. Step 6: Final answer
    x = 820.28

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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.