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Finding the Fourth Proportional to 427.50, 644.61 and 347.31

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Solution

The fourth proportional to 427.50, 644.61 and 347.31 is: 523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.50 : 644.61 = 347.31 : x
  2. Step 2: Convert to fraction form
    427.50/644.61 = 347.31/x
  3. Step 3: Cross multiply
    427.50x = 644.61 × 347.31
  4. Step 4: Simplify right side
    427.50x = 223,880.80
  5. Step 5: Solve for x
    x = 223,880.80/427.50
  6. Step 6: Final answer
    x = 523.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.