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Finding the Fourth Proportional to 866.37, 1,297.51 and 751.75

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Solution

The fourth proportional to 866.37, 1,297.51 and 751.75 is: 1,125.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.37 : 1,297.51 = 751.75 : x
  2. Step 2: Convert to fraction form
    866.37/1,297.51 = 751.75/x
  3. Step 3: Cross multiply
    866.37x = 1,297.51 × 751.75
  4. Step 4: Simplify right side
    866.37x = 975,403.14
  5. Step 5: Solve for x
    x = 975,403.14/866.37
  6. Step 6: Final answer
    x = 1,125.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.