Home / 1,212.02-1,814.55-905.30

Finding the Fourth Proportional to 1,212.02, 1,814.55 and 905.30

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Solution

The fourth proportional to 1,212.02, 1,814.55 and 905.30 is: 1,355.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.02 : 1,814.55 = 905.30 : x
  2. Step 2: Convert to fraction form
    1,212.02/1,814.55 = 905.30/x
  3. Step 3: Cross multiply
    1,212.02x = 1,814.55 × 905.30
  4. Step 4: Simplify right side
    1,212.02x = 1,642,712.12
  5. Step 5: Solve for x
    x = 1,642,712.12/1,212.02
  6. Step 6: Final answer
    x = 1,355.35

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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.