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Finding the Fourth Proportional to 779, 1,074.96 and 429.64

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Solution

The fourth proportional to 779, 1,074.96 and 429.64 is: 592.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    779 : 1,074.96 = 429.64 : x
  2. Step 2: Convert to fraction form
    779/1,074.96 = 429.64/x
  3. Step 3: Cross multiply
    779x = 1,074.96 × 429.64
  4. Step 4: Simplify right side
    779x = 461,845.81
  5. Step 5: Solve for x
    x = 461,845.81/779
  6. Step 6: Final answer
    x = 592.87

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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.