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Finding the Fourth Proportional to 1,307.21, 1,958.46 and 721.58

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Solution

The fourth proportional to 1,307.21, 1,958.46 and 721.58 is: 1,081.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.21 : 1,958.46 = 721.58 : x
  2. Step 2: Convert to fraction form
    1,307.21/1,958.46 = 721.58/x
  3. Step 3: Cross multiply
    1,307.21x = 1,958.46 × 721.58
  4. Step 4: Simplify right side
    1,307.21x = 1,413,185.57
  5. Step 5: Solve for x
    x = 1,413,185.57/1,307.21
  6. Step 6: Final answer
    x = 1,081.07

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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.