Home / 1,311.24-1,966.90-541.80

Finding the Fourth Proportional to 1,311.24, 1,966.90 and 541.80

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Solution

The fourth proportional to 1,311.24, 1,966.90 and 541.80 is: 812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.24 : 1,966.90 = 541.80 : x
  2. Step 2: Convert to fraction form
    1,311.24/1,966.90 = 541.80/x
  3. Step 3: Cross multiply
    1,311.24x = 1,966.90 × 541.80
  4. Step 4: Simplify right side
    1,311.24x = 1,065,666.42
  5. Step 5: Solve for x
    x = 1,065,666.42/1,311.24
  6. Step 6: Final answer
    x = 812.72

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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.