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Finding the Fourth Proportional to 946.78, 1,306.02 and 573.92

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Solution

The fourth proportional to 946.78, 1,306.02 and 573.92 is: 791.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.78 : 1,306.02 = 573.92 : x
  2. Step 2: Convert to fraction form
    946.78/1,306.02 = 573.92/x
  3. Step 3: Cross multiply
    946.78x = 1,306.02 × 573.92
  4. Step 4: Simplify right side
    946.78x = 749,551.00
  5. Step 5: Solve for x
    x = 749,551.00/946.78
  6. Step 6: Final answer
    x = 791.68

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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.