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Finding the Fourth Proportional to 975.14, 1,462.78 and 281.80

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Solution

The fourth proportional to 975.14, 1,462.78 and 281.80 is: 422.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.14 : 1,462.78 = 281.80 : x
  2. Step 2: Convert to fraction form
    975.14/1,462.78 = 281.80/x
  3. Step 3: Cross multiply
    975.14x = 1,462.78 × 281.80
  4. Step 4: Simplify right side
    975.14x = 412,211.40
  5. Step 5: Solve for x
    x = 412,211.40/975.14
  6. Step 6: Final answer
    x = 422.72

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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.