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Finding the Fourth Proportional to 1,853.22, 2,779.50 and 554.42

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Solution

The fourth proportional to 1,853.22, 2,779.50 and 554.42 is: 831.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.22 : 2,779.50 = 554.42 : x
  2. Step 2: Convert to fraction form
    1,853.22/2,779.50 = 554.42/x
  3. Step 3: Cross multiply
    1,853.22x = 2,779.50 × 554.42
  4. Step 4: Simplify right side
    1,853.22x = 1,541,010.39
  5. Step 5: Solve for x
    x = 1,541,010.39/1,853.22
  6. Step 6: Final answer
    x = 831.53

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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.