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Finding the Fourth Proportional to 2,646.34, 3,969.30 and 698.53

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Solution

The fourth proportional to 2,646.34, 3,969.30 and 698.53 is: 1,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.34 : 3,969.30 = 698.53 : x
  2. Step 2: Convert to fraction form
    2,646.34/3,969.30 = 698.53/x
  3. Step 3: Cross multiply
    2,646.34x = 3,969.30 × 698.53
  4. Step 4: Simplify right side
    2,646.34x = 2,772,675.13
  5. Step 5: Solve for x
    x = 2,772,675.13/2,646.34
  6. Step 6: Final answer
    x = 1,047.74

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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.