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Finding the Fourth Proportional to 556.62, 834.86 and 145.76

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Solution

The fourth proportional to 556.62, 834.86 and 145.76 is: 218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.62 : 834.86 = 145.76 : x
  2. Step 2: Convert to fraction form
    556.62/834.86 = 145.76/x
  3. Step 3: Cross multiply
    556.62x = 834.86 × 145.76
  4. Step 4: Simplify right side
    556.62x = 121,684.29
  5. Step 5: Solve for x
    x = 121,684.29/556.62
  6. Step 6: Final answer
    x = 218.61

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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.