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Finding the Fourth Proportional to 778.84, 1,074.70 and 429.50

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Solution

The fourth proportional to 778.84, 1,074.70 and 429.50 is: 592.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.84 : 1,074.70 = 429.50 : x
  2. Step 2: Convert to fraction form
    778.84/1,074.70 = 429.50/x
  3. Step 3: Cross multiply
    778.84x = 1,074.70 × 429.50
  4. Step 4: Simplify right side
    778.84x = 461,586.87
  5. Step 5: Solve for x
    x = 461,586.87/778.84
  6. Step 6: Final answer
    x = 592.66

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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.