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Finding the Fourth Proportional to 662.40, 914.54 and 414.06

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Solution

The fourth proportional to 662.40, 914.54 and 414.06 is: 571.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.40 : 914.54 = 414.06 : x
  2. Step 2: Convert to fraction form
    662.40/914.54 = 414.06/x
  3. Step 3: Cross multiply
    662.40x = 914.54 × 414.06
  4. Step 4: Simplify right side
    662.40x = 378,674.43
  5. Step 5: Solve for x
    x = 378,674.43/662.40
  6. Step 6: Final answer
    x = 571.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.