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Finding the Fourth Proportional to 778.04, 1,166.11 and 431.36

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Solution

The fourth proportional to 778.04, 1,166.11 and 431.36 is: 646.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.04 : 1,166.11 = 431.36 : x
  2. Step 2: Convert to fraction form
    778.04/1,166.11 = 431.36/x
  3. Step 3: Cross multiply
    778.04x = 1,166.11 × 431.36
  4. Step 4: Simplify right side
    778.04x = 503,013.21
  5. Step 5: Solve for x
    x = 503,013.21/778.04
  6. Step 6: Final answer
    x = 646.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.