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Finding the Fourth Proportional to 652.86, 979.33 and 190.64

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Solution

The fourth proportional to 652.86, 979.33 and 190.64 is: 285.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.86 : 979.33 = 190.64 : x
  2. Step 2: Convert to fraction form
    652.86/979.33 = 190.64/x
  3. Step 3: Cross multiply
    652.86x = 979.33 × 190.64
  4. Step 4: Simplify right side
    652.86x = 186,699.47
  5. Step 5: Solve for x
    x = 186,699.47/652.86
  6. Step 6: Final answer
    x = 285.97

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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.