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Finding the Fourth Proportional to 1,257.33, 1,885.86 and 435.54

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Solution

The fourth proportional to 1,257.33, 1,885.86 and 435.54 is: 653.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.33 : 1,885.86 = 435.54 : x
  2. Step 2: Convert to fraction form
    1,257.33/1,885.86 = 435.54/x
  3. Step 3: Cross multiply
    1,257.33x = 1,885.86 × 435.54
  4. Step 4: Simplify right side
    1,257.33x = 821,367.46
  5. Step 5: Solve for x
    x = 821,367.46/1,257.33
  6. Step 6: Final answer
    x = 653.26

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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.