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Finding the Fourth Proportional to 575.24, 863.60 and 453.60

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Solution

The fourth proportional to 575.24, 863.60 and 453.60 is: 680.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.24 : 863.60 = 453.60 : x
  2. Step 2: Convert to fraction form
    575.24/863.60 = 453.60/x
  3. Step 3: Cross multiply
    575.24x = 863.60 × 453.60
  4. Step 4: Simplify right side
    575.24x = 391,726.69
  5. Step 5: Solve for x
    x = 391,726.69/575.24
  6. Step 6: Final answer
    x = 680.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.