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Finding the Fourth Proportional to 1,704.10, 2,555.79 and 608.53

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Solution

The fourth proportional to 1,704.10, 2,555.79 and 608.53 is: 912.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.10 : 2,555.79 = 608.53 : x
  2. Step 2: Convert to fraction form
    1,704.10/2,555.79 = 608.53/x
  3. Step 3: Cross multiply
    1,704.10x = 2,555.79 × 608.53
  4. Step 4: Simplify right side
    1,704.10x = 1,555,274.89
  5. Step 5: Solve for x
    x = 1,555,274.89/1,704.10
  6. Step 6: Final answer
    x = 912.67

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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.