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Finding the Fourth Proportional to 778.99, 1,166.66 and 431.77

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Solution

The fourth proportional to 778.99, 1,166.66 and 431.77 is: 646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.99 : 1,166.66 = 431.77 : x
  2. Step 2: Convert to fraction form
    778.99/1,166.66 = 431.77/x
  3. Step 3: Cross multiply
    778.99x = 1,166.66 × 431.77
  4. Step 4: Simplify right side
    778.99x = 503,728.79
  5. Step 5: Solve for x
    x = 503,728.79/778.99
  6. Step 6: Final answer
    x = 646.64

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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.