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Finding the Fourth Proportional to 756.81, 1,128.87 and 705.78

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Solution

The fourth proportional to 756.81, 1,128.87 and 705.78 is: 1,052.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.81 : 1,128.87 = 705.78 : x
  2. Step 2: Convert to fraction form
    756.81/1,128.87 = 705.78/x
  3. Step 3: Cross multiply
    756.81x = 1,128.87 × 705.78
  4. Step 4: Simplify right side
    756.81x = 796,733.87
  5. Step 5: Solve for x
    x = 796,733.87/756.81
  6. Step 6: Final answer
    x = 1,052.75

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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.