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Finding the Fourth Proportional to 1,804.50, 2,706.90 and 505.98

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Solution

The fourth proportional to 1,804.50, 2,706.90 and 505.98 is: 759.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.50 : 2,706.90 = 505.98 : x
  2. Step 2: Convert to fraction form
    1,804.50/2,706.90 = 505.98/x
  3. Step 3: Cross multiply
    1,804.50x = 2,706.90 × 505.98
  4. Step 4: Simplify right side
    1,804.50x = 1,369,637.26
  5. Step 5: Solve for x
    x = 1,369,637.26/1,804.50
  6. Step 6: Final answer
    x = 759.01

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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.