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Finding the Fourth Proportional to 946.33, 1,419.35 and 484.45

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Solution

The fourth proportional to 946.33, 1,419.35 and 484.45 is: 726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.33 : 1,419.35 = 484.45 : x
  2. Step 2: Convert to fraction form
    946.33/1,419.35 = 484.45/x
  3. Step 3: Cross multiply
    946.33x = 1,419.35 × 484.45
  4. Step 4: Simplify right side
    946.33x = 687,598.14
  5. Step 5: Solve for x
    x = 687,598.14/946.33
  6. Step 6: Final answer
    x = 726.60

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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.