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Finding the Fourth Proportional to 606.54, 838.71 and 520.14

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Solution

The fourth proportional to 606.54, 838.71 and 520.14 is: 719.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.54 : 838.71 = 520.14 : x
  2. Step 2: Convert to fraction form
    606.54/838.71 = 520.14/x
  3. Step 3: Cross multiply
    606.54x = 838.71 × 520.14
  4. Step 4: Simplify right side
    606.54x = 436,246.62
  5. Step 5: Solve for x
    x = 436,246.62/606.54
  6. Step 6: Final answer
    x = 719.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.