Home / 1,051.26-1,577.01-320.70

Finding the Fourth Proportional to 1,051.26, 1,577.01 and 320.70

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Solution

The fourth proportional to 1,051.26, 1,577.01 and 320.70 is: 481.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.26 : 1,577.01 = 320.70 : x
  2. Step 2: Convert to fraction form
    1,051.26/1,577.01 = 320.70/x
  3. Step 3: Cross multiply
    1,051.26x = 1,577.01 × 320.70
  4. Step 4: Simplify right side
    1,051.26x = 505,747.11
  5. Step 5: Solve for x
    x = 505,747.11/1,051.26
  6. Step 6: Final answer
    x = 481.09

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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.