Home / 1,465.83-2,198.48-541.35

Finding the Fourth Proportional to 1,465.83, 2,198.48 and 541.35

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Solution

The fourth proportional to 1,465.83, 2,198.48 and 541.35 is: 811.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.83 : 2,198.48 = 541.35 : x
  2. Step 2: Convert to fraction form
    1,465.83/2,198.48 = 541.35/x
  3. Step 3: Cross multiply
    1,465.83x = 2,198.48 × 541.35
  4. Step 4: Simplify right side
    1,465.83x = 1,190,144.44
  5. Step 5: Solve for x
    x = 1,190,144.44/1,465.83
  6. Step 6: Final answer
    x = 811.93

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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.