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Finding the Fourth Proportional to 734.75, 1,014.30 and 455.15

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Solution

The fourth proportional to 734.75, 1,014.30 and 455.15 is: 628.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.75 : 1,014.30 = 455.15 : x
  2. Step 2: Convert to fraction form
    734.75/1,014.30 = 455.15/x
  3. Step 3: Cross multiply
    734.75x = 1,014.30 × 455.15
  4. Step 4: Simplify right side
    734.75x = 461,653.57
  5. Step 5: Solve for x
    x = 461,653.57/734.75
  6. Step 6: Final answer
    x = 628.32

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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.