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Finding the Fourth Proportional to 1,596.05, 2,202.49 and 887.89

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Solution

The fourth proportional to 1,596.05, 2,202.49 and 887.89 is: 1,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.05 : 2,202.49 = 887.89 : x
  2. Step 2: Convert to fraction form
    1,596.05/2,202.49 = 887.89/x
  3. Step 3: Cross multiply
    1,596.05x = 2,202.49 × 887.89
  4. Step 4: Simplify right side
    1,596.05x = 1,955,562.38
  5. Step 5: Solve for x
    x = 1,955,562.38/1,596.05
  6. Step 6: Final answer
    x = 1,225.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.