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Finding the Fourth Proportional to 680.50, 939.09 and 370

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Solution

The fourth proportional to 680.50, 939.09 and 370 is: 510.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.50 : 939.09 = 370 : x
  2. Step 2: Convert to fraction form
    680.50/939.09 = 370/x
  3. Step 3: Cross multiply
    680.50x = 939.09 × 370
  4. Step 4: Simplify right side
    680.50x = 347,463.30
  5. Step 5: Solve for x
    x = 347,463.30/680.50
  6. Step 6: Final answer
    x = 510.60

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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.