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Finding the Fourth Proportional to 592.46, 888.88 and 427.62

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Solution

The fourth proportional to 592.46, 888.88 and 427.62 is: 641.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.46 : 888.88 = 427.62 : x
  2. Step 2: Convert to fraction form
    592.46/888.88 = 427.62/x
  3. Step 3: Cross multiply
    592.46x = 888.88 × 427.62
  4. Step 4: Simplify right side
    592.46x = 380,102.87
  5. Step 5: Solve for x
    x = 380,102.87/592.46
  6. Step 6: Final answer
    x = 641.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.