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Finding the Fourth Proportional to 475.80, 711.70 and 427.40

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Solution

The fourth proportional to 475.80, 711.70 and 427.40 is: 639.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.80 : 711.70 = 427.40 : x
  2. Step 2: Convert to fraction form
    475.80/711.70 = 427.40/x
  3. Step 3: Cross multiply
    475.80x = 711.70 × 427.40
  4. Step 4: Simplify right side
    475.80x = 304,180.58
  5. Step 5: Solve for x
    x = 304,180.58/475.80
  6. Step 6: Final answer
    x = 639.30

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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.