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Finding the Fourth Proportional to 612.90, 917.97 and 352.50

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Solution

The fourth proportional to 612.90, 917.97 and 352.50 is: 527.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.90 : 917.97 = 352.50 : x
  2. Step 2: Convert to fraction form
    612.90/917.97 = 352.50/x
  3. Step 3: Cross multiply
    612.90x = 917.97 × 352.50
  4. Step 4: Simplify right side
    612.90x = 323,584.43
  5. Step 5: Solve for x
    x = 323,584.43/612.90
  6. Step 6: Final answer
    x = 527.96

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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.