Home / 1,271.47-1,905.53-540.14

Finding the Fourth Proportional to 1,271.47, 1,905.53 and 540.14

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Solution

The fourth proportional to 1,271.47, 1,905.53 and 540.14 is: 809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.47 : 1,905.53 = 540.14 : x
  2. Step 2: Convert to fraction form
    1,271.47/1,905.53 = 540.14/x
  3. Step 3: Cross multiply
    1,271.47x = 1,905.53 × 540.14
  4. Step 4: Simplify right side
    1,271.47x = 1,029,252.97
  5. Step 5: Solve for x
    x = 1,029,252.97/1,271.47
  6. Step 6: Final answer
    x = 809.50

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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.