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Finding the Fourth Proportional to 1,350.53, 1,862.93 and 852.30

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Solution

The fourth proportional to 1,350.53, 1,862.93 and 852.30 is: 1,175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.53 : 1,862.93 = 852.30 : x
  2. Step 2: Convert to fraction form
    1,350.53/1,862.93 = 852.30/x
  3. Step 3: Cross multiply
    1,350.53x = 1,862.93 × 852.30
  4. Step 4: Simplify right side
    1,350.53x = 1,587,770.98
  5. Step 5: Solve for x
    x = 1,587,770.98/1,350.53
  6. Step 6: Final answer
    x = 1,175.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.