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Finding the Fourth Proportional to 1,256.90, 1,885.93 and 608.09

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Solution

The fourth proportional to 1,256.90, 1,885.93 and 608.09 is: 912.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.90 : 1,885.93 = 608.09 : x
  2. Step 2: Convert to fraction form
    1,256.90/1,885.93 = 608.09/x
  3. Step 3: Cross multiply
    1,256.90x = 1,885.93 × 608.09
  4. Step 4: Simplify right side
    1,256.90x = 1,146,804.22
  5. Step 5: Solve for x
    x = 1,146,804.22/1,256.90
  6. Step 6: Final answer
    x = 912.41

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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.