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Finding the Fourth Proportional to 608.96, 912.51 and 454.16

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Solution

The fourth proportional to 608.96, 912.51 and 454.16 is: 680.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.96 : 912.51 = 454.16 : x
  2. Step 2: Convert to fraction form
    608.96/912.51 = 454.16/x
  3. Step 3: Cross multiply
    608.96x = 912.51 × 454.16
  4. Step 4: Simplify right side
    608.96x = 414,425.54
  5. Step 5: Solve for x
    x = 414,425.54/608.96
  6. Step 6: Final answer
    x = 680.55

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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.