Home / 1,311.63-1,968.35-542.13

Finding the Fourth Proportional to 1,311.63, 1,968.35 and 542.13

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Solution

The fourth proportional to 1,311.63, 1,968.35 and 542.13 is: 813.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.63 : 1,968.35 = 542.13 : x
  2. Step 2: Convert to fraction form
    1,311.63/1,968.35 = 542.13/x
  3. Step 3: Cross multiply
    1,311.63x = 1,968.35 × 542.13
  4. Step 4: Simplify right side
    1,311.63x = 1,067,101.59
  5. Step 5: Solve for x
    x = 1,067,101.59/1,311.63
  6. Step 6: Final answer
    x = 813.57

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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.