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Finding the Fourth Proportional to 1,302.14, 1,951.67 and 685.53

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Solution

The fourth proportional to 1,302.14, 1,951.67 and 685.53 is: 1,027.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.14 : 1,951.67 = 685.53 : x
  2. Step 2: Convert to fraction form
    1,302.14/1,951.67 = 685.53/x
  3. Step 3: Cross multiply
    1,302.14x = 1,951.67 × 685.53
  4. Step 4: Simplify right side
    1,302.14x = 1,337,918.58
  5. Step 5: Solve for x
    x = 1,337,918.58/1,302.14
  6. Step 6: Final answer
    x = 1,027.48

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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.