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Finding the Fourth Proportional to 1,200.28, 1,656.40 and 734.54

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Solution

The fourth proportional to 1,200.28, 1,656.40 and 734.54 is: 1,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.28 : 1,656.40 = 734.54 : x
  2. Step 2: Convert to fraction form
    1,200.28/1,656.40 = 734.54/x
  3. Step 3: Cross multiply
    1,200.28x = 1,656.40 × 734.54
  4. Step 4: Simplify right side
    1,200.28x = 1,216,692.06
  5. Step 5: Solve for x
    x = 1,216,692.06/1,200.28
  6. Step 6: Final answer
    x = 1,013.67

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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.