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Finding the Fourth Proportional to 960.93, 1,438.59 and 730.72

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Solution

The fourth proportional to 960.93, 1,438.59 and 730.72 is: 1,093.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.93 : 1,438.59 = 730.72 : x
  2. Step 2: Convert to fraction form
    960.93/1,438.59 = 730.72/x
  3. Step 3: Cross multiply
    960.93x = 1,438.59 × 730.72
  4. Step 4: Simplify right side
    960.93x = 1,051,200.81
  5. Step 5: Solve for x
    x = 1,051,200.81/960.93
  6. Step 6: Final answer
    x = 1,093.94

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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.