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Finding the Fourth Proportional to 652.25, 978.42 and 282.08

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Solution

The fourth proportional to 652.25, 978.42 and 282.08 is: 423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.25 : 978.42 = 282.08 : x
  2. Step 2: Convert to fraction form
    652.25/978.42 = 282.08/x
  3. Step 3: Cross multiply
    652.25x = 978.42 × 282.08
  4. Step 4: Simplify right side
    652.25x = 275,987.82
  5. Step 5: Solve for x
    x = 275,987.82/652.25
  6. Step 6: Final answer
    x = 423.14

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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.