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Finding the Fourth Proportional to 887.90, 1,329.79 and 857.14

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Solution

The fourth proportional to 887.90, 1,329.79 and 857.14 is: 1,283.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.90 : 1,329.79 = 857.14 : x
  2. Step 2: Convert to fraction form
    887.90/1,329.79 = 857.14/x
  3. Step 3: Cross multiply
    887.90x = 1,329.79 × 857.14
  4. Step 4: Simplify right side
    887.90x = 1,139,816.20
  5. Step 5: Solve for x
    x = 1,139,816.20/887.90
  6. Step 6: Final answer
    x = 1,283.73

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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.