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Finding the Fourth Proportional to 575.99, 864.13 and 165.13

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Solution

The fourth proportional to 575.99, 864.13 and 165.13 is: 247.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.99 : 864.13 = 165.13 : x
  2. Step 2: Convert to fraction form
    575.99/864.13 = 165.13/x
  3. Step 3: Cross multiply
    575.99x = 864.13 × 165.13
  4. Step 4: Simplify right side
    575.99x = 142,693.79
  5. Step 5: Solve for x
    x = 142,693.79/575.99
  6. Step 6: Final answer
    x = 247.74

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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.