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Finding the Fourth Proportional to 586.19, 878.97 and 175.20

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Solution

The fourth proportional to 586.19, 878.97 and 175.20 is: 262.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.19 : 878.97 = 175.20 : x
  2. Step 2: Convert to fraction form
    586.19/878.97 = 175.20/x
  3. Step 3: Cross multiply
    586.19x = 878.97 × 175.20
  4. Step 4: Simplify right side
    586.19x = 153,995.54
  5. Step 5: Solve for x
    x = 153,995.54/586.19
  6. Step 6: Final answer
    x = 262.71

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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.