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Finding the Fourth Proportional to 559.12, 770.64 and 427.84

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Solution

The fourth proportional to 559.12, 770.64 and 427.84 is: 589.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.12 : 770.64 = 427.84 : x
  2. Step 2: Convert to fraction form
    559.12/770.64 = 427.84/x
  3. Step 3: Cross multiply
    559.12x = 770.64 × 427.84
  4. Step 4: Simplify right side
    559.12x = 329,710.62
  5. Step 5: Solve for x
    x = 329,710.62/559.12
  6. Step 6: Final answer
    x = 589.70

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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.