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Finding the Fourth Proportional to 575.90, 864.22 and 302.19

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Solution

The fourth proportional to 575.90, 864.22 and 302.19 is: 453.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.90 : 864.22 = 302.19 : x
  2. Step 2: Convert to fraction form
    575.90/864.22 = 302.19/x
  3. Step 3: Cross multiply
    575.90x = 864.22 × 302.19
  4. Step 4: Simplify right side
    575.90x = 261,157.89
  5. Step 5: Solve for x
    x = 261,157.89/575.90
  6. Step 6: Final answer
    x = 453.48

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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.