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Finding the Fourth Proportional to 575.45, 861.64 and 300.99

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Solution

The fourth proportional to 575.45, 861.64 and 300.99 is: 450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.45 : 861.64 = 300.99 : x
  2. Step 2: Convert to fraction form
    575.45/861.64 = 300.99/x
  3. Step 3: Cross multiply
    575.45x = 861.64 × 300.99
  4. Step 4: Simplify right side
    575.45x = 259,345.08
  5. Step 5: Solve for x
    x = 259,345.08/575.45
  6. Step 6: Final answer
    x = 450.68

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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.