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Finding the Fourth Proportional to 415.65, 622.70 and 347.61

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Solution

The fourth proportional to 415.65, 622.70 and 347.61 is: 520.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.65 : 622.70 = 347.61 : x
  2. Step 2: Convert to fraction form
    415.65/622.70 = 347.61/x
  3. Step 3: Cross multiply
    415.65x = 622.70 × 347.61
  4. Step 4: Simplify right side
    415.65x = 216,455.01
  5. Step 5: Solve for x
    x = 216,455.01/415.65
  6. Step 6: Final answer
    x = 520.76

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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.