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Finding the Fourth Proportional to 608.45, 913.15 and 424.65

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Solution

The fourth proportional to 608.45, 913.15 and 424.65 is: 637.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.45 : 913.15 = 424.65 : x
  2. Step 2: Convert to fraction form
    608.45/913.15 = 424.65/x
  3. Step 3: Cross multiply
    608.45x = 913.15 × 424.65
  4. Step 4: Simplify right side
    608.45x = 387,769.15
  5. Step 5: Solve for x
    x = 387,769.15/608.45
  6. Step 6: Final answer
    x = 637.31

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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.