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Finding the Fourth Proportional to 946.28, 1,418.12 and 483.08

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Solution

The fourth proportional to 946.28, 1,418.12 and 483.08 is: 723.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.28 : 1,418.12 = 483.08 : x
  2. Step 2: Convert to fraction form
    946.28/1,418.12 = 483.08/x
  3. Step 3: Cross multiply
    946.28x = 1,418.12 × 483.08
  4. Step 4: Simplify right side
    946.28x = 685,062.99
  5. Step 5: Solve for x
    x = 685,062.99/946.28
  6. Step 6: Final answer
    x = 723.96

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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.