Home / 1,307.25-1,802.09-933.57

Finding the Fourth Proportional to 1,307.25, 1,802.09 and 933.57

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Solution

The fourth proportional to 1,307.25, 1,802.09 and 933.57 is: 1,286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.25 : 1,802.09 = 933.57 : x
  2. Step 2: Convert to fraction form
    1,307.25/1,802.09 = 933.57/x
  3. Step 3: Cross multiply
    1,307.25x = 1,802.09 × 933.57
  4. Step 4: Simplify right side
    1,307.25x = 1,682,370.48
  5. Step 5: Solve for x
    x = 1,682,370.48/1,307.25
  6. Step 6: Final answer
    x = 1,286.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.