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Finding the Fourth Proportional to 2,646.29, 3,969.14 and 698.45

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Solution

The fourth proportional to 2,646.29, 3,969.14 and 698.45 is: 1,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.29 : 3,969.14 = 698.45 : x
  2. Step 2: Convert to fraction form
    2,646.29/3,969.14 = 698.45/x
  3. Step 3: Cross multiply
    2,646.29x = 3,969.14 × 698.45
  4. Step 4: Simplify right side
    2,646.29x = 2,772,222.50
  5. Step 5: Solve for x
    x = 2,772,222.50/2,646.29
  6. Step 6: Final answer
    x = 1,047.59

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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.