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Finding the Fourth Proportional to 575.13, 792.27 and 417.30

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Solution

The fourth proportional to 575.13, 792.27 and 417.30 is: 574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.13 : 792.27 = 417.30 : x
  2. Step 2: Convert to fraction form
    575.13/792.27 = 417.30/x
  3. Step 3: Cross multiply
    575.13x = 792.27 × 417.30
  4. Step 4: Simplify right side
    575.13x = 330,610.31
  5. Step 5: Solve for x
    x = 330,610.31/575.13
  6. Step 6: Final answer
    x = 574.84

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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.