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Finding the Fourth Proportional to 960.37, 1,438.19 and 612.68

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Solution

The fourth proportional to 960.37, 1,438.19 and 612.68 is: 917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.37 : 1,438.19 = 612.68 : x
  2. Step 2: Convert to fraction form
    960.37/1,438.19 = 612.68/x
  3. Step 3: Cross multiply
    960.37x = 1,438.19 × 612.68
  4. Step 4: Simplify right side
    960.37x = 881,142.29
  5. Step 5: Solve for x
    x = 881,142.29/960.37
  6. Step 6: Final answer
    x = 917.51

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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.