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Finding the Fourth Proportional to 1,240.06, 1,857.99 and 965.02

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Solution

The fourth proportional to 1,240.06, 1,857.99 and 965.02 is: 1,445.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.06 : 1,857.99 = 965.02 : x
  2. Step 2: Convert to fraction form
    1,240.06/1,857.99 = 965.02/x
  3. Step 3: Cross multiply
    1,240.06x = 1,857.99 × 965.02
  4. Step 4: Simplify right side
    1,240.06x = 1,792,997.51
  5. Step 5: Solve for x
    x = 1,792,997.51/1,240.06
  6. Step 6: Final answer
    x = 1,445.90

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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.