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Finding the Fourth Proportional to 778.43, 1,074.21 and 429.12

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Solution

The fourth proportional to 778.43, 1,074.21 and 429.12 is: 592.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.43 : 1,074.21 = 429.12 : x
  2. Step 2: Convert to fraction form
    778.43/1,074.21 = 429.12/x
  3. Step 3: Cross multiply
    778.43x = 1,074.21 × 429.12
  4. Step 4: Simplify right side
    778.43x = 460,965.00
  5. Step 5: Solve for x
    x = 460,965.00/778.43
  6. Step 6: Final answer
    x = 592.18

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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.