Home / 1,496.15-2,242.16-764.19

Finding the Fourth Proportional to 1,496.15, 2,242.16 and 764.19

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Solution

The fourth proportional to 1,496.15, 2,242.16 and 764.19 is: 1,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.15 : 2,242.16 = 764.19 : x
  2. Step 2: Convert to fraction form
    1,496.15/2,242.16 = 764.19/x
  3. Step 3: Cross multiply
    1,496.15x = 2,242.16 × 764.19
  4. Step 4: Simplify right side
    1,496.15x = 1,713,436.25
  5. Step 5: Solve for x
    x = 1,713,436.25/1,496.15
  6. Step 6: Final answer
    x = 1,145.23

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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.