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Finding the Fourth Proportional to 946.73, 1,306.47 and 548.44

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Solution

The fourth proportional to 946.73, 1,306.47 and 548.44 is: 756.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.73 : 1,306.47 = 548.44 : x
  2. Step 2: Convert to fraction form
    946.73/1,306.47 = 548.44/x
  3. Step 3: Cross multiply
    946.73x = 1,306.47 × 548.44
  4. Step 4: Simplify right side
    946.73x = 716,521.01
  5. Step 5: Solve for x
    x = 716,521.01/946.73
  6. Step 6: Final answer
    x = 756.84

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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.