Home / 1,307.42-1,961.24-486.38

Finding the Fourth Proportional to 1,307.42, 1,961.24 and 486.38

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Solution

The fourth proportional to 1,307.42, 1,961.24 and 486.38 is: 729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.42 : 1,961.24 = 486.38 : x
  2. Step 2: Convert to fraction form
    1,307.42/1,961.24 = 486.38/x
  3. Step 3: Cross multiply
    1,307.42x = 1,961.24 × 486.38
  4. Step 4: Simplify right side
    1,307.42x = 953,906.23
  5. Step 5: Solve for x
    x = 953,906.23/1,307.42
  6. Step 6: Final answer
    x = 729.61

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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.