Home / 1,210.23-1,816.56-820.26

Finding the Fourth Proportional to 1,210.23, 1,816.56 and 820.26

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Solution

The fourth proportional to 1,210.23, 1,816.56 and 820.26 is: 1,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.23 : 1,816.56 = 820.26 : x
  2. Step 2: Convert to fraction form
    1,210.23/1,816.56 = 820.26/x
  3. Step 3: Cross multiply
    1,210.23x = 1,816.56 × 820.26
  4. Step 4: Simplify right side
    1,210.23x = 1,490,051.51
  5. Step 5: Solve for x
    x = 1,490,051.51/1,210.23
  6. Step 6: Final answer
    x = 1,231.21

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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.