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Finding the Fourth Proportional to 559.56, 770.04 and 512.94

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Solution

The fourth proportional to 559.56, 770.04 and 512.94 is: 705.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.56 : 770.04 = 512.94 : x
  2. Step 2: Convert to fraction form
    559.56/770.04 = 512.94/x
  3. Step 3: Cross multiply
    559.56x = 770.04 × 512.94
  4. Step 4: Simplify right side
    559.56x = 394,984.32
  5. Step 5: Solve for x
    x = 394,984.32/559.56
  6. Step 6: Final answer
    x = 705.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.