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Finding the Fourth Proportional to 1,347.72, 2,020.26 and 730.84

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Solution

The fourth proportional to 1,347.72, 2,020.26 and 730.84 is: 1,095.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.72 : 2,020.26 = 730.84 : x
  2. Step 2: Convert to fraction form
    1,347.72/2,020.26 = 730.84/x
  3. Step 3: Cross multiply
    1,347.72x = 2,020.26 × 730.84
  4. Step 4: Simplify right side
    1,347.72x = 1,476,486.82
  5. Step 5: Solve for x
    x = 1,476,486.82/1,347.72
  6. Step 6: Final answer
    x = 1,095.54

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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.