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Finding the Fourth Proportional to 687.05, 947.79 and 425.03

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Solution

The fourth proportional to 687.05, 947.79 and 425.03 is: 586.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.05 : 947.79 = 425.03 : x
  2. Step 2: Convert to fraction form
    687.05/947.79 = 425.03/x
  3. Step 3: Cross multiply
    687.05x = 947.79 × 425.03
  4. Step 4: Simplify right side
    687.05x = 402,839.18
  5. Step 5: Solve for x
    x = 402,839.18/687.05
  6. Step 6: Final answer
    x = 586.33

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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.