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Finding the Fourth Proportional to 778.30, 1,074.09 and 428.98

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Solution

The fourth proportional to 778.30, 1,074.09 and 428.98 is: 592.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.30 : 1,074.09 = 428.98 : x
  2. Step 2: Convert to fraction form
    778.30/1,074.09 = 428.98/x
  3. Step 3: Cross multiply
    778.30x = 1,074.09 × 428.98
  4. Step 4: Simplify right side
    778.30x = 460,763.13
  5. Step 5: Solve for x
    x = 460,763.13/778.30
  6. Step 6: Final answer
    x = 592.01

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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.