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Finding the Fourth Proportional to 2,646.35, 3,969.50 and 645.05

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Solution

The fourth proportional to 2,646.35, 3,969.50 and 645.05 is: 967.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.35 : 3,969.50 = 645.05 : x
  2. Step 2: Convert to fraction form
    2,646.35/3,969.50 = 645.05/x
  3. Step 3: Cross multiply
    2,646.35x = 3,969.50 × 645.05
  4. Step 4: Simplify right side
    2,646.35x = 2,560,502.90
  5. Step 5: Solve for x
    x = 2,560,502.90/2,646.35
  6. Step 6: Final answer
    x = 967.56

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1.5x scale

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.