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Finding the Fourth Proportional to 1,345.03, 2,019.17 and 797.83

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Solution

The fourth proportional to 1,345.03, 2,019.17 and 797.83 is: 1,197.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.03 : 2,019.17 = 797.83 : x
  2. Step 2: Convert to fraction form
    1,345.03/2,019.17 = 797.83/x
  3. Step 3: Cross multiply
    1,345.03x = 2,019.17 × 797.83
  4. Step 4: Simplify right side
    1,345.03x = 1,610,954.40
  5. Step 5: Solve for x
    x = 1,610,954.40/1,345.03
  6. Step 6: Final answer
    x = 1,197.71

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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.