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Finding the Fourth Proportional to 2,334.47, 3,501.71 and 690.89

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Solution

The fourth proportional to 2,334.47, 3,501.71 and 690.89 is: 1,036.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.47 : 3,501.71 = 690.89 : x
  2. Step 2: Convert to fraction form
    2,334.47/3,501.71 = 690.89/x
  3. Step 3: Cross multiply
    2,334.47x = 3,501.71 × 690.89
  4. Step 4: Simplify right side
    2,334.47x = 2,419,288.59
  5. Step 5: Solve for x
    x = 2,419,288.59/2,334.47
  6. Step 6: Final answer
    x = 1,036.33

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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.