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Finding the Fourth Proportional to 1,583.44, 2,373.54 and 965.50

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Solution

The fourth proportional to 1,583.44, 2,373.54 and 965.50 is: 1,447.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.44 : 2,373.54 = 965.50 : x
  2. Step 2: Convert to fraction form
    1,583.44/2,373.54 = 965.50/x
  3. Step 3: Cross multiply
    1,583.44x = 2,373.54 × 965.50
  4. Step 4: Simplify right side
    1,583.44x = 2,291,652.87
  5. Step 5: Solve for x
    x = 2,291,652.87/1,583.44
  6. Step 6: Final answer
    x = 1,447.26

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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.