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Finding the Fourth Proportional to 687.63, 948.53 and 451.72

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Solution

The fourth proportional to 687.63, 948.53 and 451.72 is: 623.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.63 : 948.53 = 451.72 : x
  2. Step 2: Convert to fraction form
    687.63/948.53 = 451.72/x
  3. Step 3: Cross multiply
    687.63x = 948.53 × 451.72
  4. Step 4: Simplify right side
    687.63x = 428,468.73
  5. Step 5: Solve for x
    x = 428,468.73/687.63
  6. Step 6: Final answer
    x = 623.11

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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.