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Finding the Fourth Proportional to 1,282.01, 1,769.73 and 816.26

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Solution

The fourth proportional to 1,282.01, 1,769.73 and 816.26 is: 1,126.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.01 : 1,769.73 = 816.26 : x
  2. Step 2: Convert to fraction form
    1,282.01/1,769.73 = 816.26/x
  3. Step 3: Cross multiply
    1,282.01x = 1,769.73 × 816.26
  4. Step 4: Simplify right side
    1,282.01x = 1,444,559.81
  5. Step 5: Solve for x
    x = 1,444,559.81/1,282.01
  6. Step 6: Final answer
    x = 1,126.79

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1.5x scale

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.