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Finding the Fourth Proportional to 946.33, 1,306.22 and 614.78

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Solution

The fourth proportional to 946.33, 1,306.22 and 614.78 is: 848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.33 : 1,306.22 = 614.78 : x
  2. Step 2: Convert to fraction form
    946.33/1,306.22 = 614.78/x
  3. Step 3: Cross multiply
    946.33x = 1,306.22 × 614.78
  4. Step 4: Simplify right side
    946.33x = 803,037.93
  5. Step 5: Solve for x
    x = 803,037.93/946.33
  6. Step 6: Final answer
    x = 848.58

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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.