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Finding the Fourth Proportional to 1,450.79, 2,174.26 and 790.98

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Solution

The fourth proportional to 1,450.79, 2,174.26 and 790.98 is: 1,185.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.79 : 2,174.26 = 790.98 : x
  2. Step 2: Convert to fraction form
    1,450.79/2,174.26 = 790.98/x
  3. Step 3: Cross multiply
    1,450.79x = 2,174.26 × 790.98
  4. Step 4: Simplify right side
    1,450.79x = 1,719,796.17
  5. Step 5: Solve for x
    x = 1,719,796.17/1,450.79
  6. Step 6: Final answer
    x = 1,185.42

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1.5x scale

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.