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Finding the Fourth Proportional to 1,078.93, 1,618.17 and 309.25

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Solution

The fourth proportional to 1,078.93, 1,618.17 and 309.25 is: 463.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.93 : 1,618.17 = 309.25 : x
  2. Step 2: Convert to fraction form
    1,078.93/1,618.17 = 309.25/x
  3. Step 3: Cross multiply
    1,078.93x = 1,618.17 × 309.25
  4. Step 4: Simplify right side
    1,078.93x = 500,419.07
  5. Step 5: Solve for x
    x = 500,419.07/1,078.93
  6. Step 6: Final answer
    x = 463.81

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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.