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Finding the Fourth Proportional to 679.23, 935.01 and 513.18

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Solution

The fourth proportional to 679.23, 935.01 and 513.18 is: 706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.23 : 935.01 = 513.18 : x
  2. Step 2: Convert to fraction form
    679.23/935.01 = 513.18/x
  3. Step 3: Cross multiply
    679.23x = 935.01 × 513.18
  4. Step 4: Simplify right side
    679.23x = 479,828.43
  5. Step 5: Solve for x
    x = 479,828.43/679.23
  6. Step 6: Final answer
    x = 706.43

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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.