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Finding the Fourth Proportional to 756.56, 1,133.88 and 414.80

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Solution

The fourth proportional to 756.56, 1,133.88 and 414.80 is: 621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.56 : 1,133.88 = 414.80 : x
  2. Step 2: Convert to fraction form
    756.56/1,133.88 = 414.80/x
  3. Step 3: Cross multiply
    756.56x = 1,133.88 × 414.80
  4. Step 4: Simplify right side
    756.56x = 470,333.42
  5. Step 5: Solve for x
    x = 470,333.42/756.56
  6. Step 6: Final answer
    x = 621.67

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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.