Home / 1,214.32-1,821.81-556.62

Finding the Fourth Proportional to 1,214.32, 1,821.81 and 556.62

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Solution

The fourth proportional to 1,214.32, 1,821.81 and 556.62 is: 835.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.32 : 1,821.81 = 556.62 : x
  2. Step 2: Convert to fraction form
    1,214.32/1,821.81 = 556.62/x
  3. Step 3: Cross multiply
    1,214.32x = 1,821.81 × 556.62
  4. Step 4: Simplify right side
    1,214.32x = 1,014,055.88
  5. Step 5: Solve for x
    x = 1,014,055.88/1,214.32
  6. Step 6: Final answer
    x = 835.08

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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.