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Finding the Fourth Proportional to 1,614.36, 2,421.31 and 518.58

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Solution

The fourth proportional to 1,614.36, 2,421.31 and 518.58 is: 777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.36 : 2,421.31 = 518.58 : x
  2. Step 2: Convert to fraction form
    1,614.36/2,421.31 = 518.58/x
  3. Step 3: Cross multiply
    1,614.36x = 2,421.31 × 518.58
  4. Step 4: Simplify right side
    1,614.36x = 1,255,642.94
  5. Step 5: Solve for x
    x = 1,255,642.94/1,614.36
  6. Step 6: Final answer
    x = 777.80

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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.