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Finding the Fourth Proportional to 946.59, 1,306.21 and 548.13

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Solution

The fourth proportional to 946.59, 1,306.21 and 548.13 is: 756.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.59 : 1,306.21 = 548.13 : x
  2. Step 2: Convert to fraction form
    946.59/1,306.21 = 548.13/x
  3. Step 3: Cross multiply
    946.59x = 1,306.21 × 548.13
  4. Step 4: Simplify right side
    946.59x = 715,972.89
  5. Step 5: Solve for x
    x = 715,972.89/946.59
  6. Step 6: Final answer
    x = 756.37

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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.