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Finding the Fourth Proportional to 946.07, 1,419.05 and 287.93

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Solution

The fourth proportional to 946.07, 1,419.05 and 287.93 is: 431.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.07 : 1,419.05 = 287.93 : x
  2. Step 2: Convert to fraction form
    946.07/1,419.05 = 287.93/x
  3. Step 3: Cross multiply
    946.07x = 1,419.05 × 287.93
  4. Step 4: Simplify right side
    946.07x = 408,584.29
  5. Step 5: Solve for x
    x = 408,584.29/946.07
  6. Step 6: Final answer
    x = 431.88

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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.