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Finding the Fourth Proportional to 662.16, 914.12 and 512.44

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Solution

The fourth proportional to 662.16, 914.12 and 512.44 is: 707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.16 : 914.12 = 512.44 : x
  2. Step 2: Convert to fraction form
    662.16/914.12 = 512.44/x
  3. Step 3: Cross multiply
    662.16x = 914.12 × 512.44
  4. Step 4: Simplify right side
    662.16x = 468,431.65
  5. Step 5: Solve for x
    x = 468,431.65/662.16
  6. Step 6: Final answer
    x = 707.43

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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.