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Finding the Fourth Proportional to 960.77, 1,440.75 and 302.42

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Solution

The fourth proportional to 960.77, 1,440.75 and 302.42 is: 453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.77 : 1,440.75 = 302.42 : x
  2. Step 2: Convert to fraction form
    960.77/1,440.75 = 302.42/x
  3. Step 3: Cross multiply
    960.77x = 1,440.75 × 302.42
  4. Step 4: Simplify right side
    960.77x = 435,704.41
  5. Step 5: Solve for x
    x = 435,704.41/960.77
  6. Step 6: Final answer
    x = 453.50

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1.5x scale

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.