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Finding the Fourth Proportional to 558.63, 769.91 and 427.95

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Solution

The fourth proportional to 558.63, 769.91 and 427.95 is: 589.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.63 : 769.91 = 427.95 : x
  2. Step 2: Convert to fraction form
    558.63/769.91 = 427.95/x
  3. Step 3: Cross multiply
    558.63x = 769.91 × 427.95
  4. Step 4: Simplify right side
    558.63x = 329,480.84
  5. Step 5: Solve for x
    x = 329,480.84/558.63
  6. Step 6: Final answer
    x = 589.80

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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.