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Finding the Fourth Proportional to 946.03, 1,305.09 and 614.47

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Solution

The fourth proportional to 946.03, 1,305.09 and 614.47 is: 847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.03 : 1,305.09 = 614.47 : x
  2. Step 2: Convert to fraction form
    946.03/1,305.09 = 614.47/x
  3. Step 3: Cross multiply
    946.03x = 1,305.09 × 614.47
  4. Step 4: Simplify right side
    946.03x = 801,938.65
  5. Step 5: Solve for x
    x = 801,938.65/946.03
  6. Step 6: Final answer
    x = 847.69

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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.