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Finding the Fourth Proportional to 512.98, 706.40 and 457.09

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Solution

The fourth proportional to 512.98, 706.40 and 457.09 is: 629.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.98 : 706.40 = 457.09 : x
  2. Step 2: Convert to fraction form
    512.98/706.40 = 457.09/x
  3. Step 3: Cross multiply
    512.98x = 706.40 × 457.09
  4. Step 4: Simplify right side
    512.98x = 322,888.38
  5. Step 5: Solve for x
    x = 322,888.38/512.98
  6. Step 6: Final answer
    x = 629.44

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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.