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Finding the Fourth Proportional to 617.14, 852.83 and 512.11

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Solution

The fourth proportional to 617.14, 852.83 and 512.11 is: 707.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.14 : 852.83 = 512.11 : x
  2. Step 2: Convert to fraction form
    617.14/852.83 = 512.11/x
  3. Step 3: Cross multiply
    617.14x = 852.83 × 512.11
  4. Step 4: Simplify right side
    617.14x = 436,742.77
  5. Step 5: Solve for x
    x = 436,742.77/617.14
  6. Step 6: Final answer
    x = 707.69

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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.