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Finding the Fourth Proportional to 960.76, 1,441.50 and 383.68

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Solution

The fourth proportional to 960.76, 1,441.50 and 383.68 is: 575.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.76 : 1,441.50 = 383.68 : x
  2. Step 2: Convert to fraction form
    960.76/1,441.50 = 383.68/x
  3. Step 3: Cross multiply
    960.76x = 1,441.50 × 383.68
  4. Step 4: Simplify right side
    960.76x = 553,074.72
  5. Step 5: Solve for x
    x = 553,074.72/960.76
  6. Step 6: Final answer
    x = 575.66

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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.