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Finding the Fourth Proportional to 778.26, 1,166.46 and 431.40

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Solution

The fourth proportional to 778.26, 1,166.46 and 431.40 is: 646.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.26 : 1,166.46 = 431.40 : x
  2. Step 2: Convert to fraction form
    778.26/1,166.46 = 431.40/x
  3. Step 3: Cross multiply
    778.26x = 1,166.46 × 431.40
  4. Step 4: Simplify right side
    778.26x = 503,210.84
  5. Step 5: Solve for x
    x = 503,210.84/778.26
  6. Step 6: Final answer
    x = 646.58

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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.