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Finding the Fourth Proportional to 975.05, 1,462.67 and 419.94

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Solution

The fourth proportional to 975.05, 1,462.67 and 419.94 is: 629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.05 : 1,462.67 = 419.94 : x
  2. Step 2: Convert to fraction form
    975.05/1,462.67 = 419.94/x
  3. Step 3: Cross multiply
    975.05x = 1,462.67 × 419.94
  4. Step 4: Simplify right side
    975.05x = 614,231.54
  5. Step 5: Solve for x
    x = 614,231.54/975.05
  6. Step 6: Final answer
    x = 629.95

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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.