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Finding the Fourth Proportional to 1,077.15, 1,615.38 and 557.09

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Solution

The fourth proportional to 1,077.15, 1,615.38 and 557.09 is: 835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.15 : 1,615.38 = 557.09 : x
  2. Step 2: Convert to fraction form
    1,077.15/1,615.38 = 557.09/x
  3. Step 3: Cross multiply
    1,077.15x = 1,615.38 × 557.09
  4. Step 4: Simplify right side
    1,077.15x = 899,912.04
  5. Step 5: Solve for x
    x = 899,912.04/1,077.15
  6. Step 6: Final answer
    x = 835.46

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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.