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Finding the Fourth Proportional to 946.38, 1,419.75 and 459.39

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Solution

The fourth proportional to 946.38, 1,419.75 and 459.39 is: 689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.38 : 1,419.75 = 459.39 : x
  2. Step 2: Convert to fraction form
    946.38/1,419.75 = 459.39/x
  3. Step 3: Cross multiply
    946.38x = 1,419.75 × 459.39
  4. Step 4: Simplify right side
    946.38x = 652,218.95
  5. Step 5: Solve for x
    x = 652,218.95/946.38
  6. Step 6: Final answer
    x = 689.17

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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.