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Finding the Fourth Proportional to 652.65, 978.36 and 327.63

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Solution

The fourth proportional to 652.65, 978.36 and 327.63 is: 491.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.65 : 978.36 = 327.63 : x
  2. Step 2: Convert to fraction form
    652.65/978.36 = 327.63/x
  3. Step 3: Cross multiply
    652.65x = 978.36 × 327.63
  4. Step 4: Simplify right side
    652.65x = 320,540.09
  5. Step 5: Solve for x
    x = 320,540.09/652.65
  6. Step 6: Final answer
    x = 491.14

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