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Finding the Fourth Proportional to 946.38, 1,306.09 and 573.48

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Solution

The fourth proportional to 946.38, 1,306.09 and 573.48 is: 791.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.38 : 1,306.09 = 573.48 : x
  2. Step 2: Convert to fraction form
    946.38/1,306.09 = 573.48/x
  3. Step 3: Cross multiply
    946.38x = 1,306.09 × 573.48
  4. Step 4: Simplify right side
    946.38x = 749,017.21
  5. Step 5: Solve for x
    x = 749,017.21/946.38
  6. Step 6: Final answer
    x = 791.45

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Double scale
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1.5x scale

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.