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Finding the Fourth Proportional to 1,240.03, 1,857.73 and 964.78

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Solution

The fourth proportional to 1,240.03, 1,857.73 and 964.78 is: 1,445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.03 : 1,857.73 = 964.78 : x
  2. Step 2: Convert to fraction form
    1,240.03/1,857.73 = 964.78/x
  3. Step 3: Cross multiply
    1,240.03x = 1,857.73 × 964.78
  4. Step 4: Simplify right side
    1,240.03x = 1,792,300.75
  5. Step 5: Solve for x
    x = 1,792,300.75/1,240.03
  6. Step 6: Final answer
    x = 1,445.37

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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.