Home / 1,477.41-2,038.83-805.22

Finding the Fourth Proportional to 1,477.41, 2,038.83 and 805.22

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Solution

The fourth proportional to 1,477.41, 2,038.83 and 805.22 is: 1,111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.41 : 2,038.83 = 805.22 : x
  2. Step 2: Convert to fraction form
    1,477.41/2,038.83 = 805.22/x
  3. Step 3: Cross multiply
    1,477.41x = 2,038.83 × 805.22
  4. Step 4: Simplify right side
    1,477.41x = 1,641,717.48
  5. Step 5: Solve for x
    x = 1,641,717.48/1,477.41
  6. Step 6: Final answer
    x = 1,111.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.