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Finding the Fourth Proportional to 608.24, 910.74 and 453.26

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Solution

The fourth proportional to 608.24, 910.74 and 453.26 is: 678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.24 : 910.74 = 453.26 : x
  2. Step 2: Convert to fraction form
    608.24/910.74 = 453.26/x
  3. Step 3: Cross multiply
    608.24x = 910.74 × 453.26
  4. Step 4: Simplify right side
    608.24x = 412,802.01
  5. Step 5: Solve for x
    x = 412,802.01/608.24
  6. Step 6: Final answer
    x = 678.68

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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.