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Finding the Fourth Proportional to 608.69, 912.17 and 471.09

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Solution

The fourth proportional to 608.69, 912.17 and 471.09 is: 705.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.69 : 912.17 = 471.09 : x
  2. Step 2: Convert to fraction form
    608.69/912.17 = 471.09/x
  3. Step 3: Cross multiply
    608.69x = 912.17 × 471.09
  4. Step 4: Simplify right side
    608.69x = 429,718.76
  5. Step 5: Solve for x
    x = 429,718.76/608.69
  6. Step 6: Final answer
    x = 705.97

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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.