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Finding the Fourth Proportional to 574.92, 792.76 and 455.07

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Solution

The fourth proportional to 574.92, 792.76 and 455.07 is: 627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.92 : 792.76 = 455.07 : x
  2. Step 2: Convert to fraction form
    574.92/792.76 = 455.07/x
  3. Step 3: Cross multiply
    574.92x = 792.76 × 455.07
  4. Step 4: Simplify right side
    574.92x = 360,761.29
  5. Step 5: Solve for x
    x = 360,761.29/574.92
  6. Step 6: Final answer
    x = 627.50

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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.