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Finding the Fourth Proportional to 946.38, 1,419.16 and 698.08

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Solution

The fourth proportional to 946.38, 1,419.16 and 698.08 is: 1,046.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.38 : 1,419.16 = 698.08 : x
  2. Step 2: Convert to fraction form
    946.38/1,419.16 = 698.08/x
  3. Step 3: Cross multiply
    946.38x = 1,419.16 × 698.08
  4. Step 4: Simplify right side
    946.38x = 990,687.21
  5. Step 5: Solve for x
    x = 990,687.21/946.38
  6. Step 6: Final answer
    x = 1,046.82

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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.