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Finding the Fourth Proportional to 1,347.23, 2,021.76 and 908.72

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Solution

The fourth proportional to 1,347.23, 2,021.76 and 908.72 is: 1,363.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.23 : 2,021.76 = 908.72 : x
  2. Step 2: Convert to fraction form
    1,347.23/2,021.76 = 908.72/x
  3. Step 3: Cross multiply
    1,347.23x = 2,021.76 × 908.72
  4. Step 4: Simplify right side
    1,347.23x = 1,837,211.22
  5. Step 5: Solve for x
    x = 1,837,211.22/1,347.23
  6. Step 6: Final answer
    x = 1,363.69

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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.