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Finding the Fourth Proportional to 946.45, 1,419.36 and 459.19

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Solution

The fourth proportional to 946.45, 1,419.36 and 459.19 is: 688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.45 : 1,419.36 = 459.19 : x
  2. Step 2: Convert to fraction form
    946.45/1,419.36 = 459.19/x
  3. Step 3: Cross multiply
    946.45x = 1,419.36 × 459.19
  4. Step 4: Simplify right side
    946.45x = 651,755.92
  5. Step 5: Solve for x
    x = 651,755.92/946.45
  6. Step 6: Final answer
    x = 688.63

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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.