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Finding the Fourth Proportional to 558.46, 775.52 and 553.06

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Solution

The fourth proportional to 558.46, 775.52 and 553.06 is: 768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.46 : 775.52 = 553.06 : x
  2. Step 2: Convert to fraction form
    558.46/775.52 = 553.06/x
  3. Step 3: Cross multiply
    558.46x = 775.52 × 553.06
  4. Step 4: Simplify right side
    558.46x = 428,909.09
  5. Step 5: Solve for x
    x = 428,909.09/558.46
  6. Step 6: Final answer
    x = 768.02

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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.