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Finding the Fourth Proportional to 652.53, 978.81 and 190.32

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Solution

The fourth proportional to 652.53, 978.81 and 190.32 is: 285.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.53 : 978.81 = 190.32 : x
  2. Step 2: Convert to fraction form
    652.53/978.81 = 190.32/x
  3. Step 3: Cross multiply
    652.53x = 978.81 × 190.32
  4. Step 4: Simplify right side
    652.53x = 186,287.12
  5. Step 5: Solve for x
    x = 186,287.12/652.53
  6. Step 6: Final answer
    x = 285.48

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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.