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Finding the Fourth Proportional to 960.86, 1,440.32 and 440.51

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Solution

The fourth proportional to 960.86, 1,440.32 and 440.51 is: 660.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.86 : 1,440.32 = 440.51 : x
  2. Step 2: Convert to fraction form
    960.86/1,440.32 = 440.51/x
  3. Step 3: Cross multiply
    960.86x = 1,440.32 × 440.51
  4. Step 4: Simplify right side
    960.86x = 634,465.96
  5. Step 5: Solve for x
    x = 634,465.96/960.86
  6. Step 6: Final answer
    x = 660.31

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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.