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Finding the Fourth Proportional to 1,200.52, 1,656.48 and 734.50

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Solution

The fourth proportional to 1,200.52, 1,656.48 and 734.50 is: 1,013.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.52 : 1,656.48 = 734.50 : x
  2. Step 2: Convert to fraction form
    1,200.52/1,656.48 = 734.50/x
  3. Step 3: Cross multiply
    1,200.52x = 1,656.48 × 734.50
  4. Step 4: Simplify right side
    1,200.52x = 1,216,684.56
  5. Step 5: Solve for x
    x = 1,216,684.56/1,200.52
  6. Step 6: Final answer
    x = 1,013.46

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