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Finding the Fourth Proportional to 678.06, 1,015.39 and 433.84

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Solution

The fourth proportional to 678.06, 1,015.39 and 433.84 is: 649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.06 : 1,015.39 = 433.84 : x
  2. Step 2: Convert to fraction form
    678.06/1,015.39 = 433.84/x
  3. Step 3: Cross multiply
    678.06x = 1,015.39 × 433.84
  4. Step 4: Simplify right side
    678.06x = 440,516.80
  5. Step 5: Solve for x
    x = 440,516.80/678.06
  6. Step 6: Final answer
    x = 649.67

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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.