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Finding the Fourth Proportional to 574.75, 792.84 and 387.93

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Solution

The fourth proportional to 574.75, 792.84 and 387.93 is: 535.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.75 : 792.84 = 387.93 : x
  2. Step 2: Convert to fraction form
    574.75/792.84 = 387.93/x
  3. Step 3: Cross multiply
    574.75x = 792.84 × 387.93
  4. Step 4: Simplify right side
    574.75x = 307,566.42
  5. Step 5: Solve for x
    x = 307,566.42/574.75
  6. Step 6: Final answer
    x = 535.13

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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.