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Finding the Fourth Proportional to 2,257.61, 3,386.73 and 697.74

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Solution

The fourth proportional to 2,257.61, 3,386.73 and 697.74 is: 1,046.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.61 : 3,386.73 = 697.74 : x
  2. Step 2: Convert to fraction form
    2,257.61/3,386.73 = 697.74/x
  3. Step 3: Cross multiply
    2,257.61x = 3,386.73 × 697.74
  4. Step 4: Simplify right side
    2,257.61x = 2,363,056.99
  5. Step 5: Solve for x
    x = 2,363,056.99/2,257.61
  6. Step 6: Final answer
    x = 1,046.71

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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.