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Finding the Fourth Proportional to 687.07, 948.27 and 425.04

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Solution

The fourth proportional to 687.07, 948.27 and 425.04 is: 586.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.07 : 948.27 = 425.04 : x
  2. Step 2: Convert to fraction form
    687.07/948.27 = 425.04/x
  3. Step 3: Cross multiply
    687.07x = 948.27 × 425.04
  4. Step 4: Simplify right side
    687.07x = 403,052.68
  5. Step 5: Solve for x
    x = 403,052.68/687.07
  6. Step 6: Final answer
    x = 586.63

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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.