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Finding the Fourth Proportional to 1,214.99, 1,821.90 and 658.82

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Solution

The fourth proportional to 1,214.99, 1,821.90 and 658.82 is: 987.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.99 : 1,821.90 = 658.82 : x
  2. Step 2: Convert to fraction form
    1,214.99/1,821.90 = 658.82/x
  3. Step 3: Cross multiply
    1,214.99x = 1,821.90 × 658.82
  4. Step 4: Simplify right side
    1,214.99x = 1,200,297.23
  5. Step 5: Solve for x
    x = 1,200,297.23/1,214.99
  6. Step 6: Final answer
    x = 987.91

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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.