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Finding the Fourth Proportional to 2,429.08, 3,643.58 and 697.70

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Solution

The fourth proportional to 2,429.08, 3,643.58 and 697.70 is: 1,046.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.08 : 3,643.58 = 697.70 : x
  2. Step 2: Convert to fraction form
    2,429.08/3,643.58 = 697.70/x
  3. Step 3: Cross multiply
    2,429.08x = 3,643.58 × 697.70
  4. Step 4: Simplify right side
    2,429.08x = 2,542,125.77
  5. Step 5: Solve for x
    x = 2,542,125.77/2,429.08
  6. Step 6: Final answer
    x = 1,046.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.