Home / 1,294.18-1,941.24-320.26

Finding the Fourth Proportional to 1,294.18, 1,941.24 and 320.26

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Solution

The fourth proportional to 1,294.18, 1,941.24 and 320.26 is: 480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.18 : 1,941.24 = 320.26 : x
  2. Step 2: Convert to fraction form
    1,294.18/1,941.24 = 320.26/x
  3. Step 3: Cross multiply
    1,294.18x = 1,941.24 × 320.26
  4. Step 4: Simplify right side
    1,294.18x = 621,701.52
  5. Step 5: Solve for x
    x = 621,701.52/1,294.18
  6. Step 6: Final answer
    x = 480.38

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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.