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Finding the Fourth Proportional to 652.02, 978.02 and 327.38

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Solution

The fourth proportional to 652.02, 978.02 and 327.38 is: 491.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.02 : 978.02 = 327.38 : x
  2. Step 2: Convert to fraction form
    652.02/978.02 = 327.38/x
  3. Step 3: Cross multiply
    652.02x = 978.02 × 327.38
  4. Step 4: Simplify right side
    652.02x = 320,184.19
  5. Step 5: Solve for x
    x = 320,184.19/652.02
  6. Step 6: Final answer
    x = 491.06

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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.