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Finding the Fourth Proportional to 665.10, 917.79 and 416.45

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Solution

The fourth proportional to 665.10, 917.79 and 416.45 is: 574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.10 : 917.79 = 416.45 : x
  2. Step 2: Convert to fraction form
    665.10/917.79 = 416.45/x
  3. Step 3: Cross multiply
    665.10x = 917.79 × 416.45
  4. Step 4: Simplify right side
    665.10x = 382,213.65
  5. Step 5: Solve for x
    x = 382,213.65/665.10
  6. Step 6: Final answer
    x = 574.67

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Why These Related Problems?

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