Home / 1,311.57-1,968.24-542.07

Finding the Fourth Proportional to 1,311.57, 1,968.24 and 542.07

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Solution

The fourth proportional to 1,311.57, 1,968.24 and 542.07 is: 813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.57 : 1,968.24 = 542.07 : x
  2. Step 2: Convert to fraction form
    1,311.57/1,968.24 = 542.07/x
  3. Step 3: Cross multiply
    1,311.57x = 1,968.24 × 542.07
  4. Step 4: Simplify right side
    1,311.57x = 1,066,923.86
  5. Step 5: Solve for x
    x = 1,066,923.86/1,311.57
  6. Step 6: Final answer
    x = 813.47

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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.