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Finding the Fourth Proportional to 608.99, 912.62 and 471.39

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Solution

The fourth proportional to 608.99, 912.62 and 471.39 is: 706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.99 : 912.62 = 471.39 : x
  2. Step 2: Convert to fraction form
    608.99/912.62 = 471.39/x
  3. Step 3: Cross multiply
    608.99x = 912.62 × 471.39
  4. Step 4: Simplify right side
    608.99x = 430,199.94
  5. Step 5: Solve for x
    x = 430,199.94/608.99
  6. Step 6: Final answer
    x = 706.42

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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.