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Finding the Fourth Proportional to 652.12, 978.90 and 327.76

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Solution

The fourth proportional to 652.12, 978.90 and 327.76 is: 492.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.12 : 978.90 = 327.76 : x
  2. Step 2: Convert to fraction form
    652.12/978.90 = 327.76/x
  3. Step 3: Cross multiply
    652.12x = 978.90 × 327.76
  4. Step 4: Simplify right side
    652.12x = 320,844.26
  5. Step 5: Solve for x
    x = 320,844.26/652.12
  6. Step 6: Final answer
    x = 492.00

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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.