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Finding the Fourth Proportional to 3,043.45, 4,565.16 and 734.95

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Solution

The fourth proportional to 3,043.45, 4,565.16 and 734.95 is: 1,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.45 : 4,565.16 = 734.95 : x
  2. Step 2: Convert to fraction form
    3,043.45/4,565.16 = 734.95/x
  3. Step 3: Cross multiply
    3,043.45x = 4,565.16 × 734.95
  4. Step 4: Simplify right side
    3,043.45x = 3,355,164.34
  5. Step 5: Solve for x
    x = 3,355,164.34/3,043.45
  6. Step 6: Final answer
    x = 1,102.42

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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.