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Finding the Fourth Proportional to 853.16, 1,277.84 and 544.23

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Solution

The fourth proportional to 853.16, 1,277.84 and 544.23 is: 815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.16 : 1,277.84 = 544.23 : x
  2. Step 2: Convert to fraction form
    853.16/1,277.84 = 544.23/x
  3. Step 3: Cross multiply
    853.16x = 1,277.84 × 544.23
  4. Step 4: Simplify right side
    853.16x = 695,436.14
  5. Step 5: Solve for x
    x = 695,436.14/853.16
  6. Step 6: Final answer
    x = 815.13

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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.