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Finding the Fourth Proportional to 2,603.25, 3,903.66 and 870.66

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Solution

The fourth proportional to 2,603.25, 3,903.66 and 870.66 is: 1,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.25 : 3,903.66 = 870.66 : x
  2. Step 2: Convert to fraction form
    2,603.25/3,903.66 = 870.66/x
  3. Step 3: Cross multiply
    2,603.25x = 3,903.66 × 870.66
  4. Step 4: Simplify right side
    2,603.25x = 3,398,760.62
  5. Step 5: Solve for x
    x = 3,398,760.62/2,603.25
  6. Step 6: Final answer
    x = 1,305.58

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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.