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Finding the Fourth Proportional to 2,603.84, 3,905.75 and 656.04

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Solution

The fourth proportional to 2,603.84, 3,905.75 and 656.04 is: 984.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.84 : 3,905.75 = 656.04 : x
  2. Step 2: Convert to fraction form
    2,603.84/3,905.75 = 656.04/x
  3. Step 3: Cross multiply
    2,603.84x = 3,905.75 × 656.04
  4. Step 4: Simplify right side
    2,603.84x = 2,562,324.95
  5. Step 5: Solve for x
    x = 2,562,324.95/2,603.84
  6. Step 6: Final answer
    x = 984.06

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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.