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Finding the Fourth Proportional to 1,256.05, 1,881.91 and 890.25

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Solution

The fourth proportional to 1,256.05, 1,881.91 and 890.25 is: 1,333.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.05 : 1,881.91 = 890.25 : x
  2. Step 2: Convert to fraction form
    1,256.05/1,881.91 = 890.25/x
  3. Step 3: Cross multiply
    1,256.05x = 1,881.91 × 890.25
  4. Step 4: Simplify right side
    1,256.05x = 1,675,370.38
  5. Step 5: Solve for x
    x = 1,675,370.38/1,256.05
  6. Step 6: Final answer
    x = 1,333.84

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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.