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Finding the Fourth Proportional to 1,258.55, 1,888.37 and 895.67

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Solution

The fourth proportional to 1,258.55, 1,888.37 and 895.67 is: 1,343.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.55 : 1,888.37 = 895.67 : x
  2. Step 2: Convert to fraction form
    1,258.55/1,888.37 = 895.67/x
  3. Step 3: Cross multiply
    1,258.55x = 1,888.37 × 895.67
  4. Step 4: Simplify right side
    1,258.55x = 1,691,351.88
  5. Step 5: Solve for x
    x = 1,691,351.88/1,258.55
  6. Step 6: Final answer
    x = 1,343.89

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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.