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Finding the Fourth Proportional to 946.49, 1,412.98 and 823.50

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Solution

The fourth proportional to 946.49, 1,412.98 and 823.50 is: 1,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.49 : 1,412.98 = 823.50 : x
  2. Step 2: Convert to fraction form
    946.49/1,412.98 = 823.50/x
  3. Step 3: Cross multiply
    946.49x = 1,412.98 × 823.50
  4. Step 4: Simplify right side
    946.49x = 1,163,586.97
  5. Step 5: Solve for x
    x = 1,163,586.97/946.49
  6. Step 6: Final answer
    x = 1,229.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.