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Finding the Fourth Proportional to 2,217.05, 3,325.55 and 657.05

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Solution

The fourth proportional to 2,217.05, 3,325.55 and 657.05 is: 985.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.05 : 3,325.55 = 657.05 : x
  2. Step 2: Convert to fraction form
    2,217.05/3,325.55 = 657.05/x
  3. Step 3: Cross multiply
    2,217.05x = 3,325.55 × 657.05
  4. Step 4: Simplify right side
    2,217.05x = 2,185,062.62
  5. Step 5: Solve for x
    x = 2,185,062.62/2,217.05
  6. Step 6: Final answer
    x = 985.57

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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.