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Finding the Fourth Proportional to 853.11, 1,277.16 and 648.49

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Solution

The fourth proportional to 853.11, 1,277.16 and 648.49 is: 970.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.11 : 1,277.16 = 648.49 : x
  2. Step 2: Convert to fraction form
    853.11/1,277.16 = 648.49/x
  3. Step 3: Cross multiply
    853.11x = 1,277.16 × 648.49
  4. Step 4: Simplify right side
    853.11x = 828,225.49
  5. Step 5: Solve for x
    x = 828,225.49/853.11
  6. Step 6: Final answer
    x = 970.83

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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.