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Finding the Fourth Proportional to 1,280.16, 1,765.14 and 1,093.08

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Solution

The fourth proportional to 1,280.16, 1,765.14 and 1,093.08 is: 1,507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.16 : 1,765.14 = 1,093.08 : x
  2. Step 2: Convert to fraction form
    1,280.16/1,765.14 = 1,093.08/x
  3. Step 3: Cross multiply
    1,280.16x = 1,765.14 × 1,093.08
  4. Step 4: Simplify right side
    1,280.16x = 1,929,439.23
  5. Step 5: Solve for x
    x = 1,929,439.23/1,280.16
  6. Step 6: Final answer
    x = 1,507.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.