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Finding the Fourth Proportional to 617.96, 852.08 and 505.57

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Solution

The fourth proportional to 617.96, 852.08 and 505.57 is: 697.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.96 : 852.08 = 505.57 : x
  2. Step 2: Convert to fraction form
    617.96/852.08 = 505.57/x
  3. Step 3: Cross multiply
    617.96x = 852.08 × 505.57
  4. Step 4: Simplify right side
    617.96x = 430,787.35
  5. Step 5: Solve for x
    x = 430,787.35/617.96
  6. Step 6: Final answer
    x = 697.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.