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Finding the Fourth Proportional to 1,256.41, 1,882.54 and 890.39

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Solution

The fourth proportional to 1,256.41, 1,882.54 and 890.39 is: 1,334.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.41 : 1,882.54 = 890.39 : x
  2. Step 2: Convert to fraction form
    1,256.41/1,882.54 = 890.39/x
  3. Step 3: Cross multiply
    1,256.41x = 1,882.54 × 890.39
  4. Step 4: Simplify right side
    1,256.41x = 1,676,200.61
  5. Step 5: Solve for x
    x = 1,676,200.61/1,256.41
  6. Step 6: Final answer
    x = 1,334.12

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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.