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Finding the Fourth Proportional to 625.93, 863.76 and 346.15

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Solution

The fourth proportional to 625.93, 863.76 and 346.15 is: 477.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.93 : 863.76 = 346.15 : x
  2. Step 2: Convert to fraction form
    625.93/863.76 = 346.15/x
  3. Step 3: Cross multiply
    625.93x = 863.76 × 346.15
  4. Step 4: Simplify right side
    625.93x = 298,984.47
  5. Step 5: Solve for x
    x = 298,984.47/625.93
  6. Step 6: Final answer
    x = 477.67

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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.