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Finding the Fourth Proportional to 1,393.65, 2,090.34 and 845.69

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Solution

The fourth proportional to 1,393.65, 2,090.34 and 845.69 is: 1,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.65 : 2,090.34 = 845.69 : x
  2. Step 2: Convert to fraction form
    1,393.65/2,090.34 = 845.69/x
  3. Step 3: Cross multiply
    1,393.65x = 2,090.34 × 845.69
  4. Step 4: Simplify right side
    1,393.65x = 1,767,769.18
  5. Step 5: Solve for x
    x = 1,767,769.18/1,393.65
  6. Step 6: Final answer
    x = 1,268.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.