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Finding the Fourth Proportional to 652.85, 978.97 and 241.98

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Solution

The fourth proportional to 652.85, 978.97 and 241.98 is: 362.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.85 : 978.97 = 241.98 : x
  2. Step 2: Convert to fraction form
    652.85/978.97 = 241.98/x
  3. Step 3: Cross multiply
    652.85x = 978.97 × 241.98
  4. Step 4: Simplify right side
    652.85x = 236,885.06
  5. Step 5: Solve for x
    x = 236,885.06/652.85
  6. Step 6: Final answer
    x = 362.85

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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.