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Finding the Fourth Proportional to 1,698.69, 2,545.15 and 821.60

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Solution

The fourth proportional to 1,698.69, 2,545.15 and 821.60 is: 1,231.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.69 : 2,545.15 = 821.60 : x
  2. Step 2: Convert to fraction form
    1,698.69/2,545.15 = 821.60/x
  3. Step 3: Cross multiply
    1,698.69x = 2,545.15 × 821.60
  4. Step 4: Simplify right side
    1,698.69x = 2,091,096.97
  5. Step 5: Solve for x
    x = 2,091,096.97/1,698.69
  6. Step 6: Final answer
    x = 1,231.01

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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.