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Finding the Fourth Proportional to 734.96, 1,014.26 and 440.24

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Solution

The fourth proportional to 734.96, 1,014.26 and 440.24 is: 607.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.96 : 1,014.26 = 440.24 : x
  2. Step 2: Convert to fraction form
    734.96/1,014.26 = 440.24/x
  3. Step 3: Cross multiply
    734.96x = 1,014.26 × 440.24
  4. Step 4: Simplify right side
    734.96x = 446,517.82
  5. Step 5: Solve for x
    x = 446,517.82/734.96
  6. Step 6: Final answer
    x = 607.54

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1.5x scale

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.