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Finding the Fourth Proportional to 946.64, 1,420 and 297.38

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Solution

The fourth proportional to 946.64, 1,420 and 297.38 is: 446.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.64 : 1,420 = 297.38 : x
  2. Step 2: Convert to fraction form
    946.64/1,420 = 297.38/x
  3. Step 3: Cross multiply
    946.64x = 1,420 × 297.38
  4. Step 4: Simplify right side
    946.64x = 422,279.60
  5. Step 5: Solve for x
    x = 422,279.60/946.64
  6. Step 6: Final answer
    x = 446.08

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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.