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Finding the Fourth Proportional to 1,280.12, 1,922.02 and 795.16

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Solution

The fourth proportional to 1,280.12, 1,922.02 and 795.16 is: 1,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.12 : 1,922.02 = 795.16 : x
  2. Step 2: Convert to fraction form
    1,280.12/1,922.02 = 795.16/x
  3. Step 3: Cross multiply
    1,280.12x = 1,922.02 × 795.16
  4. Step 4: Simplify right side
    1,280.12x = 1,528,313.42
  5. Step 5: Solve for x
    x = 1,528,313.42/1,280.12
  6. Step 6: Final answer
    x = 1,193.88

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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.