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Finding the Fourth Proportional to 975.14, 1,462.55 and 281.65

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Solution

The fourth proportional to 975.14, 1,462.55 and 281.65 is: 422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.14 : 1,462.55 = 281.65 : x
  2. Step 2: Convert to fraction form
    975.14/1,462.55 = 281.65/x
  3. Step 3: Cross multiply
    975.14x = 1,462.55 × 281.65
  4. Step 4: Simplify right side
    975.14x = 411,927.21
  5. Step 5: Solve for x
    x = 411,927.21/975.14
  6. Step 6: Final answer
    x = 422.43

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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.