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Finding the Fourth Proportional to 1,265.90, 1,900.62 and 650.06

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Solution

The fourth proportional to 1,265.90, 1,900.62 and 650.06 is: 976.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.90 : 1,900.62 = 650.06 : x
  2. Step 2: Convert to fraction form
    1,265.90/1,900.62 = 650.06/x
  3. Step 3: Cross multiply
    1,265.90x = 1,900.62 × 650.06
  4. Step 4: Simplify right side
    1,265.90x = 1,235,517.04
  5. Step 5: Solve for x
    x = 1,235,517.04/1,265.90
  6. Step 6: Final answer
    x = 976.00

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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.