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Finding the Fourth Proportional to 731.80, 1,095.54 and 629.74

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Solution

The fourth proportional to 731.80, 1,095.54 and 629.74 is: 942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.80 : 1,095.54 = 629.74 : x
  2. Step 2: Convert to fraction form
    731.80/1,095.54 = 629.74/x
  3. Step 3: Cross multiply
    731.80x = 1,095.54 × 629.74
  4. Step 4: Simplify right side
    731.80x = 689,905.36
  5. Step 5: Solve for x
    x = 689,905.36/731.80
  6. Step 6: Final answer
    x = 942.75

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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.