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Finding the Fourth Proportional to 1,013, 1,512.25 and 857.88

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Solution

The fourth proportional to 1,013, 1,512.25 and 857.88 is: 1,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013 : 1,512.25 = 857.88 : x
  2. Step 2: Convert to fraction form
    1,013/1,512.25 = 857.88/x
  3. Step 3: Cross multiply
    1,013x = 1,512.25 × 857.88
  4. Step 4: Simplify right side
    1,013x = 1,297,329.03
  5. Step 5: Solve for x
    x = 1,297,329.03/1,013
  6. Step 6: Final answer
    x = 1,280.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.