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Finding the Fourth Proportional to 608.19, 912.79 and 452.16

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Solution

The fourth proportional to 608.19, 912.79 and 452.16 is: 678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.19 : 912.79 = 452.16 : x
  2. Step 2: Convert to fraction form
    608.19/912.79 = 452.16/x
  3. Step 3: Cross multiply
    608.19x = 912.79 × 452.16
  4. Step 4: Simplify right side
    608.19x = 412,727.13
  5. Step 5: Solve for x
    x = 412,727.13/608.19
  6. Step 6: Final answer
    x = 678.62

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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.