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Finding the Fourth Proportional to 1,051.26, 1,450.32 and 658.55

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Solution

The fourth proportional to 1,051.26, 1,450.32 and 658.55 is: 908.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.26 : 1,450.32 = 658.55 : x
  2. Step 2: Convert to fraction form
    1,051.26/1,450.32 = 658.55/x
  3. Step 3: Cross multiply
    1,051.26x = 1,450.32 × 658.55
  4. Step 4: Simplify right side
    1,051.26x = 955,100.98
  5. Step 5: Solve for x
    x = 955,100.98/1,051.26
  6. Step 6: Final answer
    x = 908.53

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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.