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Finding the Fourth Proportional to 946.58, 1,306.22 and 548.17

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Solution

The fourth proportional to 946.58, 1,306.22 and 548.17 is: 756.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.58 : 1,306.22 = 548.17 : x
  2. Step 2: Convert to fraction form
    946.58/1,306.22 = 548.17/x
  3. Step 3: Cross multiply
    946.58x = 1,306.22 × 548.17
  4. Step 4: Simplify right side
    946.58x = 716,028.72
  5. Step 5: Solve for x
    x = 716,028.72/946.58
  6. Step 6: Final answer
    x = 756.44

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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.