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Finding the Fourth Proportional to 756.57, 1,128.70 and 685.83

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Solution

The fourth proportional to 756.57, 1,128.70 and 685.83 is: 1,023.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.57 : 1,128.70 = 685.83 : x
  2. Step 2: Convert to fraction form
    756.57/1,128.70 = 685.83/x
  3. Step 3: Cross multiply
    756.57x = 1,128.70 × 685.83
  4. Step 4: Simplify right side
    756.57x = 774,093.76
  5. Step 5: Solve for x
    x = 774,093.76/756.57
  6. Step 6: Final answer
    x = 1,023.17

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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.