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Finding the Fourth Proportional to 1,603.55, 2,407.37 and 873.63

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Solution

The fourth proportional to 1,603.55, 2,407.37 and 873.63 is: 1,311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.55 : 2,407.37 = 873.63 : x
  2. Step 2: Convert to fraction form
    1,603.55/2,407.37 = 873.63/x
  3. Step 3: Cross multiply
    1,603.55x = 2,407.37 × 873.63
  4. Step 4: Simplify right side
    1,603.55x = 2,103,146.28
  5. Step 5: Solve for x
    x = 2,103,146.28/1,603.55
  6. Step 6: Final answer
    x = 1,311.56

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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.