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Finding the Fourth Proportional to 757, 1,129.37 and 684.10

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Solution

The fourth proportional to 757, 1,129.37 and 684.10 is: 1,020.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    757 : 1,129.37 = 684.10 : x
  2. Step 2: Convert to fraction form
    757/1,129.37 = 684.10/x
  3. Step 3: Cross multiply
    757x = 1,129.37 × 684.10
  4. Step 4: Simplify right side
    757x = 772,602.02
  5. Step 5: Solve for x
    x = 772,602.02/757
  6. Step 6: Final answer
    x = 1,020.61

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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.