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Finding the Fourth Proportional to 946.38, 1,419.28 and 398.55

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Solution

The fourth proportional to 946.38, 1,419.28 and 398.55 is: 597.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.38 : 1,419.28 = 398.55 : x
  2. Step 2: Convert to fraction form
    946.38/1,419.28 = 398.55/x
  3. Step 3: Cross multiply
    946.38x = 1,419.28 × 398.55
  4. Step 4: Simplify right side
    946.38x = 565,654.04
  5. Step 5: Solve for x
    x = 565,654.04/946.38
  6. Step 6: Final answer
    x = 597.70

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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.