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Finding the Fourth Proportional to 742.63, 1,114.25 and 454.07

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Solution

The fourth proportional to 742.63, 1,114.25 and 454.07 is: 681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.63 : 1,114.25 = 454.07 : x
  2. Step 2: Convert to fraction form
    742.63/1,114.25 = 454.07/x
  3. Step 3: Cross multiply
    742.63x = 1,114.25 × 454.07
  4. Step 4: Simplify right side
    742.63x = 505,947.50
  5. Step 5: Solve for x
    x = 505,947.50/742.63
  6. Step 6: Final answer
    x = 681.29

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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.