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Finding the Fourth Proportional to 790.85, 1,091.73 and 594.42

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Solution

The fourth proportional to 790.85, 1,091.73 and 594.42 is: 820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.85 : 1,091.73 = 594.42 : x
  2. Step 2: Convert to fraction form
    790.85/1,091.73 = 594.42/x
  3. Step 3: Cross multiply
    790.85x = 1,091.73 × 594.42
  4. Step 4: Simplify right side
    790.85x = 648,946.15
  5. Step 5: Solve for x
    x = 648,946.15/790.85
  6. Step 6: Final answer
    x = 820.57

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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.