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Finding the Fourth Proportional to 687.43, 948.69 and 376.93

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Solution

The fourth proportional to 687.43, 948.69 and 376.93 is: 520.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.43 : 948.69 = 376.93 : x
  2. Step 2: Convert to fraction form
    687.43/948.69 = 376.93/x
  3. Step 3: Cross multiply
    687.43x = 948.69 × 376.93
  4. Step 4: Simplify right side
    687.43x = 357,589.72
  5. Step 5: Solve for x
    x = 357,589.72/687.43
  6. Step 6: Final answer
    x = 520.18

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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.