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Finding the Fourth Proportional to 1,282.45, 1,921.62 and 761.21

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Solution

The fourth proportional to 1,282.45, 1,921.62 and 761.21 is: 1,140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.45 : 1,921.62 = 761.21 : x
  2. Step 2: Convert to fraction form
    1,282.45/1,921.62 = 761.21/x
  3. Step 3: Cross multiply
    1,282.45x = 1,921.62 × 761.21
  4. Step 4: Simplify right side
    1,282.45x = 1,462,767.62
  5. Step 5: Solve for x
    x = 1,462,767.62/1,282.45
  6. Step 6: Final answer
    x = 1,140.60

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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.