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Finding the Fourth Proportional to 946.14, 1,305.50 and 568.04

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Solution

The fourth proportional to 946.14, 1,305.50 and 568.04 is: 783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.14 : 1,305.50 = 568.04 : x
  2. Step 2: Convert to fraction form
    946.14/1,305.50 = 568.04/x
  3. Step 3: Cross multiply
    946.14x = 1,305.50 × 568.04
  4. Step 4: Simplify right side
    946.14x = 741,576.22
  5. Step 5: Solve for x
    x = 741,576.22/946.14
  6. Step 6: Final answer
    x = 783.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.