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Finding the Fourth Proportional to 975.82, 1,462.43 and 427.31

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Solution

The fourth proportional to 975.82, 1,462.43 and 427.31 is: 640.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.82 : 1,462.43 = 427.31 : x
  2. Step 2: Convert to fraction form
    975.82/1,462.43 = 427.31/x
  3. Step 3: Cross multiply
    975.82x = 1,462.43 × 427.31
  4. Step 4: Simplify right side
    975.82x = 624,915.69
  5. Step 5: Solve for x
    x = 624,915.69/975.82
  6. Step 6: Final answer
    x = 640.40

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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.