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Finding the Fourth Proportional to 608.42, 912.26 and 478.10

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Solution

The fourth proportional to 608.42, 912.26 and 478.10 is: 716.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.42 : 912.26 = 478.10 : x
  2. Step 2: Convert to fraction form
    608.42/912.26 = 478.10/x
  3. Step 3: Cross multiply
    608.42x = 912.26 × 478.10
  4. Step 4: Simplify right side
    608.42x = 436,146.94
  5. Step 5: Solve for x
    x = 436,146.94/608.42
  6. Step 6: Final answer
    x = 716.86

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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.