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Finding the Fourth Proportional to 946.07, 1,423.26 and 810.73

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Solution

The fourth proportional to 946.07, 1,423.26 and 810.73 is: 1,219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.07 : 1,423.26 = 810.73 : x
  2. Step 2: Convert to fraction form
    946.07/1,423.26 = 810.73/x
  3. Step 3: Cross multiply
    946.07x = 1,423.26 × 810.73
  4. Step 4: Simplify right side
    946.07x = 1,153,879.58
  5. Step 5: Solve for x
    x = 1,153,879.58/946.07
  6. Step 6: Final answer
    x = 1,219.66

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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.