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Finding the Fourth Proportional to 616.33, 923.33 and 342.65

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Solution

The fourth proportional to 616.33, 923.33 and 342.65 is: 513.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.33 : 923.33 = 342.65 : x
  2. Step 2: Convert to fraction form
    616.33/923.33 = 342.65/x
  3. Step 3: Cross multiply
    616.33x = 923.33 × 342.65
  4. Step 4: Simplify right side
    616.33x = 316,379.02
  5. Step 5: Solve for x
    x = 316,379.02/616.33
  6. Step 6: Final answer
    x = 513.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.