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Finding the Fourth Proportional to 693.19, 957.31 and 518.23

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Solution

The fourth proportional to 693.19, 957.31 and 518.23 is: 715.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.19 : 957.31 = 518.23 : x
  2. Step 2: Convert to fraction form
    693.19/957.31 = 518.23/x
  3. Step 3: Cross multiply
    693.19x = 957.31 × 518.23
  4. Step 4: Simplify right side
    693.19x = 496,103.07
  5. Step 5: Solve for x
    x = 496,103.07/693.19
  6. Step 6: Final answer
    x = 715.68

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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.