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Finding the Fourth Proportional to 2,068.25, 3,102.35 and 508.28

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Solution

The fourth proportional to 2,068.25, 3,102.35 and 508.28 is: 762.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.25 : 3,102.35 = 508.28 : x
  2. Step 2: Convert to fraction form
    2,068.25/3,102.35 = 508.28/x
  3. Step 3: Cross multiply
    2,068.25x = 3,102.35 × 508.28
  4. Step 4: Simplify right side
    2,068.25x = 1,576,847.26
  5. Step 5: Solve for x
    x = 1,576,847.26/2,068.25
  6. Step 6: Final answer
    x = 762.41

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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.