Home / 1,215.10-1,822.83-485.20

Finding the Fourth Proportional to 1,215.10, 1,822.83 and 485.20

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Solution

The fourth proportional to 1,215.10, 1,822.83 and 485.20 is: 727.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.10 : 1,822.83 = 485.20 : x
  2. Step 2: Convert to fraction form
    1,215.10/1,822.83 = 485.20/x
  3. Step 3: Cross multiply
    1,215.10x = 1,822.83 × 485.20
  4. Step 4: Simplify right side
    1,215.10x = 884,437.12
  5. Step 5: Solve for x
    x = 884,437.12/1,215.10
  6. Step 6: Final answer
    x = 727.87

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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.