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Finding the Fourth Proportional to 749.02, 1,033.50 and 680.98

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Solution

The fourth proportional to 749.02, 1,033.50 and 680.98 is: 939.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.02 : 1,033.50 = 680.98 : x
  2. Step 2: Convert to fraction form
    749.02/1,033.50 = 680.98/x
  3. Step 3: Cross multiply
    749.02x = 1,033.50 × 680.98
  4. Step 4: Simplify right side
    749.02x = 703,792.83
  5. Step 5: Solve for x
    x = 703,792.83/749.02
  6. Step 6: Final answer
    x = 939.62

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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.