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Finding the Fourth Proportional to 946.42, 1,420.96 and 484.56

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Solution

The fourth proportional to 946.42, 1,420.96 and 484.56 is: 727.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.42 : 1,420.96 = 484.56 : x
  2. Step 2: Convert to fraction form
    946.42/1,420.96 = 484.56/x
  3. Step 3: Cross multiply
    946.42x = 1,420.96 × 484.56
  4. Step 4: Simplify right side
    946.42x = 688,540.38
  5. Step 5: Solve for x
    x = 688,540.38/946.42
  6. Step 6: Final answer
    x = 727.52

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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.