Home / 1,271.35-1,905.73-540.46

Finding the Fourth Proportional to 1,271.35, 1,905.73 and 540.46

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Solution

The fourth proportional to 1,271.35, 1,905.73 and 540.46 is: 810.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.35 : 1,905.73 = 540.46 : x
  2. Step 2: Convert to fraction form
    1,271.35/1,905.73 = 540.46/x
  3. Step 3: Cross multiply
    1,271.35x = 1,905.73 × 540.46
  4. Step 4: Simplify right side
    1,271.35x = 1,029,970.84
  5. Step 5: Solve for x
    x = 1,029,970.84/1,271.35
  6. Step 6: Final answer
    x = 810.14

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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.