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Finding the Fourth Proportional to 1,595.88, 2,202.36 and 887.79

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Solution

The fourth proportional to 1,595.88, 2,202.36 and 887.79 is: 1,225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.88 : 2,202.36 = 887.79 : x
  2. Step 2: Convert to fraction form
    1,595.88/2,202.36 = 887.79/x
  3. Step 3: Cross multiply
    1,595.88x = 2,202.36 × 887.79
  4. Step 4: Simplify right side
    1,595.88x = 1,955,227.02
  5. Step 5: Solve for x
    x = 1,955,227.02/1,595.88
  6. Step 6: Final answer
    x = 1,225.17

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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.