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Finding the Fourth Proportional to 612.21, 917.52 and 392.75

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Solution

The fourth proportional to 612.21, 917.52 and 392.75 is: 588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.21 : 917.52 = 392.75 : x
  2. Step 2: Convert to fraction form
    612.21/917.52 = 392.75/x
  3. Step 3: Cross multiply
    612.21x = 917.52 × 392.75
  4. Step 4: Simplify right side
    612.21x = 360,359.75
  5. Step 5: Solve for x
    x = 360,359.75/612.21
  6. Step 6: Final answer
    x = 588.62

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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.