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Finding the Fourth Proportional to 734.04, 1,095.81 and 708.39

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Solution

The fourth proportional to 734.04, 1,095.81 and 708.39 is: 1,057.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.04 : 1,095.81 = 708.39 : x
  2. Step 2: Convert to fraction form
    734.04/1,095.81 = 708.39/x
  3. Step 3: Cross multiply
    734.04x = 1,095.81 × 708.39
  4. Step 4: Simplify right side
    734.04x = 776,260.85
  5. Step 5: Solve for x
    x = 776,260.85/734.04
  6. Step 6: Final answer
    x = 1,057.52

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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.