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Finding the Fourth Proportional to 558.96, 775.14 and 541.14

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Solution

The fourth proportional to 558.96, 775.14 and 541.14 is: 750.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.96 : 775.14 = 541.14 : x
  2. Step 2: Convert to fraction form
    558.96/775.14 = 541.14/x
  3. Step 3: Cross multiply
    558.96x = 775.14 × 541.14
  4. Step 4: Simplify right side
    558.96x = 419,459.26
  5. Step 5: Solve for x
    x = 419,459.26/558.96
  6. Step 6: Final answer
    x = 750.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.