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Finding the Fourth Proportional to 975.01, 1,462.49 and 427.23

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Solution

The fourth proportional to 975.01, 1,462.49 and 427.23 is: 640.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.01 : 1,462.49 = 427.23 : x
  2. Step 2: Convert to fraction form
    975.01/1,462.49 = 427.23/x
  3. Step 3: Cross multiply
    975.01x = 1,462.49 × 427.23
  4. Step 4: Simplify right side
    975.01x = 624,819.60
  5. Step 5: Solve for x
    x = 624,819.60/975.01
  6. Step 6: Final answer
    x = 640.84

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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.