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Finding the Fourth Proportional to 736.20, 1,096.98 and 708.30

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Solution

The fourth proportional to 736.20, 1,096.98 and 708.30 is: 1,055.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.20 : 1,096.98 = 708.30 : x
  2. Step 2: Convert to fraction form
    736.20/1,096.98 = 708.30/x
  3. Step 3: Cross multiply
    736.20x = 1,096.98 × 708.30
  4. Step 4: Simplify right side
    736.20x = 776,990.93
  5. Step 5: Solve for x
    x = 776,990.93/736.20
  6. Step 6: Final answer
    x = 1,055.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.