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Finding the Fourth Proportional to 2,603.81, 3,905.42 and 656.03

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Solution

The fourth proportional to 2,603.81, 3,905.42 and 656.03 is: 983.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.81 : 3,905.42 = 656.03 : x
  2. Step 2: Convert to fraction form
    2,603.81/3,905.42 = 656.03/x
  3. Step 3: Cross multiply
    2,603.81x = 3,905.42 × 656.03
  4. Step 4: Simplify right side
    2,603.81x = 2,562,079.17
  5. Step 5: Solve for x
    x = 2,562,079.17/2,603.81
  6. Step 6: Final answer
    x = 983.97

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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.