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Finding the Fourth Proportional to 740.45, 1,014.41 and 712.75

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Solution

The fourth proportional to 740.45, 1,014.41 and 712.75 is: 976.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.45 : 1,014.41 = 712.75 : x
  2. Step 2: Convert to fraction form
    740.45/1,014.41 = 712.75/x
  3. Step 3: Cross multiply
    740.45x = 1,014.41 × 712.75
  4. Step 4: Simplify right side
    740.45x = 723,020.73
  5. Step 5: Solve for x
    x = 723,020.73/740.45
  6. Step 6: Final answer
    x = 976.46

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.