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Finding the Fourth Proportional to 2,303.44, 3,456.78 and 917.08

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Solution

The fourth proportional to 2,303.44, 3,456.78 and 917.08 is: 1,376.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.44 : 3,456.78 = 917.08 : x
  2. Step 2: Convert to fraction form
    2,303.44/3,456.78 = 917.08/x
  3. Step 3: Cross multiply
    2,303.44x = 3,456.78 × 917.08
  4. Step 4: Simplify right side
    2,303.44x = 3,170,143.80
  5. Step 5: Solve for x
    x = 3,170,143.80/2,303.44
  6. Step 6: Final answer
    x = 1,376.26

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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.