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Finding the Fourth Proportional to 778.34, 1,074.12 and 603.92

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Solution

The fourth proportional to 778.34, 1,074.12 and 603.92 is: 833.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.34 : 1,074.12 = 603.92 : x
  2. Step 2: Convert to fraction form
    778.34/1,074.12 = 603.92/x
  3. Step 3: Cross multiply
    778.34x = 1,074.12 × 603.92
  4. Step 4: Simplify right side
    778.34x = 648,682.55
  5. Step 5: Solve for x
    x = 648,682.55/778.34
  6. Step 6: Final answer
    x = 833.42

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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.