Home / 1,119.02-1,678.41-286.09

Finding the Fourth Proportional to 1,119.02, 1,678.41 and 286.09

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Solution

The fourth proportional to 1,119.02, 1,678.41 and 286.09 is: 429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.02 : 1,678.41 = 286.09 : x
  2. Step 2: Convert to fraction form
    1,119.02/1,678.41 = 286.09/x
  3. Step 3: Cross multiply
    1,119.02x = 1,678.41 × 286.09
  4. Step 4: Simplify right side
    1,119.02x = 480,172.12
  5. Step 5: Solve for x
    x = 480,172.12/1,119.02
  6. Step 6: Final answer
    x = 429.10

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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.