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Finding the Fourth Proportional to 552.91, 827.74 and 346.81

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Solution

The fourth proportional to 552.91, 827.74 and 346.81 is: 519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.91 : 827.74 = 346.81 : x
  2. Step 2: Convert to fraction form
    552.91/827.74 = 346.81/x
  3. Step 3: Cross multiply
    552.91x = 827.74 × 346.81
  4. Step 4: Simplify right side
    552.91x = 287,068.51
  5. Step 5: Solve for x
    x = 287,068.51/552.91
  6. Step 6: Final answer
    x = 519.20

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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.