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Finding the Fourth Proportional to 960.99, 1,441.08 and 412.89

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Solution

The fourth proportional to 960.99, 1,441.08 and 412.89 is: 619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.99 : 1,441.08 = 412.89 : x
  2. Step 2: Convert to fraction form
    960.99/1,441.08 = 412.89/x
  3. Step 3: Cross multiply
    960.99x = 1,441.08 × 412.89
  4. Step 4: Simplify right side
    960.99x = 595,007.52
  5. Step 5: Solve for x
    x = 595,007.52/960.99
  6. Step 6: Final answer
    x = 619.16

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Double scale
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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.