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Finding the Fourth Proportional to 940.98, 1,409.58 and 452.58

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Solution

The fourth proportional to 940.98, 1,409.58 and 452.58 is: 677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.98 : 1,409.58 = 452.58 : x
  2. Step 2: Convert to fraction form
    940.98/1,409.58 = 452.58/x
  3. Step 3: Cross multiply
    940.98x = 1,409.58 × 452.58
  4. Step 4: Simplify right side
    940.98x = 637,947.72
  5. Step 5: Solve for x
    x = 637,947.72/940.98
  6. Step 6: Final answer
    x = 677.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.