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Finding the Fourth Proportional to 946.38, 1,306.14 and 573.38

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Solution

The fourth proportional to 946.38, 1,306.14 and 573.38 is: 791.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.38 : 1,306.14 = 573.38 : x
  2. Step 2: Convert to fraction form
    946.38/1,306.14 = 573.38/x
  3. Step 3: Cross multiply
    946.38x = 1,306.14 × 573.38
  4. Step 4: Simplify right side
    946.38x = 748,914.55
  5. Step 5: Solve for x
    x = 748,914.55/946.38
  6. Step 6: Final answer
    x = 791.35

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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.