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Finding the Fourth Proportional to 946.49, 1,419.96 and 297.22

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Solution

The fourth proportional to 946.49, 1,419.96 and 297.22 is: 445.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.49 : 1,419.96 = 297.22 : x
  2. Step 2: Convert to fraction form
    946.49/1,419.96 = 297.22/x
  3. Step 3: Cross multiply
    946.49x = 1,419.96 × 297.22
  4. Step 4: Simplify right side
    946.49x = 422,045.51
  5. Step 5: Solve for x
    x = 422,045.51/946.49
  6. Step 6: Final answer
    x = 445.91

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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.