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Finding the Fourth Proportional to 1,280.53, 1,921.07 and 631.18

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Solution

The fourth proportional to 1,280.53, 1,921.07 and 631.18 is: 946.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.53 : 1,921.07 = 631.18 : x
  2. Step 2: Convert to fraction form
    1,280.53/1,921.07 = 631.18/x
  3. Step 3: Cross multiply
    1,280.53x = 1,921.07 × 631.18
  4. Step 4: Simplify right side
    1,280.53x = 1,212,540.96
  5. Step 5: Solve for x
    x = 1,212,540.96/1,280.53
  6. Step 6: Final answer
    x = 946.91

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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.