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Finding the Fourth Proportional to 853.90, 1,275.09 and 848.78

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Solution

The fourth proportional to 853.90, 1,275.09 and 848.78 is: 1,267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.90 : 1,275.09 = 848.78 : x
  2. Step 2: Convert to fraction form
    853.90/1,275.09 = 848.78/x
  3. Step 3: Cross multiply
    853.90x = 1,275.09 × 848.78
  4. Step 4: Simplify right side
    853.90x = 1,082,270.89
  5. Step 5: Solve for x
    x = 1,082,270.89/853.90
  6. Step 6: Final answer
    x = 1,267.44

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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.