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Finding the Fourth Proportional to 574.71, 792.36 and 417.57

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Solution

The fourth proportional to 574.71, 792.36 and 417.57 is: 575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.71 : 792.36 = 417.57 : x
  2. Step 2: Convert to fraction form
    574.71/792.36 = 417.57/x
  3. Step 3: Cross multiply
    574.71x = 792.36 × 417.57
  4. Step 4: Simplify right side
    574.71x = 330,865.77
  5. Step 5: Solve for x
    x = 330,865.77/574.71
  6. Step 6: Final answer
    x = 575.71

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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.