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Finding the Fourth Proportional to 1,347.27, 2,019.29 and 730.95

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Solution

The fourth proportional to 1,347.27, 2,019.29 and 730.95 is: 1,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.27 : 2,019.29 = 730.95 : x
  2. Step 2: Convert to fraction form
    1,347.27/2,019.29 = 730.95/x
  3. Step 3: Cross multiply
    1,347.27x = 2,019.29 × 730.95
  4. Step 4: Simplify right side
    1,347.27x = 1,475,996.37
  5. Step 5: Solve for x
    x = 1,475,996.37/1,347.27
  6. Step 6: Final answer
    x = 1,095.55

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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.