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Finding the Fourth Proportional to 475.34, 711.93 and 427.28

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Solution

The fourth proportional to 475.34, 711.93 and 427.28 is: 639.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.34 : 711.93 = 427.28 : x
  2. Step 2: Convert to fraction form
    475.34/711.93 = 427.28/x
  3. Step 3: Cross multiply
    475.34x = 711.93 × 427.28
  4. Step 4: Simplify right side
    475.34x = 304,193.45
  5. Step 5: Solve for x
    x = 304,193.45/475.34
  6. Step 6: Final answer
    x = 639.95

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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.