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Finding the Fourth Proportional to 946.65, 1,419.57 and 483.95

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Solution

The fourth proportional to 946.65, 1,419.57 and 483.95 is: 725.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.65 : 1,419.57 = 483.95 : x
  2. Step 2: Convert to fraction form
    946.65/1,419.57 = 483.95/x
  3. Step 3: Cross multiply
    946.65x = 1,419.57 × 483.95
  4. Step 4: Simplify right side
    946.65x = 686,993.80
  5. Step 5: Solve for x
    x = 686,993.80/946.65
  6. Step 6: Final answer
    x = 725.71

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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.