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Finding the Fourth Proportional to 1,237.30, 1,706.97 and 764.86

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Solution

The fourth proportional to 1,237.30, 1,706.97 and 764.86 is: 1,055.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.30 : 1,706.97 = 764.86 : x
  2. Step 2: Convert to fraction form
    1,237.30/1,706.97 = 764.86/x
  3. Step 3: Cross multiply
    1,237.30x = 1,706.97 × 764.86
  4. Step 4: Simplify right side
    1,237.30x = 1,305,593.07
  5. Step 5: Solve for x
    x = 1,305,593.07/1,237.30
  6. Step 6: Final answer
    x = 1,055.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.