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Finding the Fourth Proportional to 608.96, 913.20 and 416.64

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Solution

The fourth proportional to 608.96, 913.20 and 416.64 is: 624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.96 : 913.20 = 416.64 : x
  2. Step 2: Convert to fraction form
    608.96/913.20 = 416.64/x
  3. Step 3: Cross multiply
    608.96x = 913.20 × 416.64
  4. Step 4: Simplify right side
    608.96x = 380,475.65
  5. Step 5: Solve for x
    x = 380,475.65/608.96
  6. Step 6: Final answer
    x = 624.80

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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.