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Finding the Fourth Proportional to 425.84, 634.98 and 425.03

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Solution

The fourth proportional to 425.84, 634.98 and 425.03 is: 633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.84 : 634.98 = 425.03 : x
  2. Step 2: Convert to fraction form
    425.84/634.98 = 425.03/x
  3. Step 3: Cross multiply
    425.84x = 634.98 × 425.03
  4. Step 4: Simplify right side
    425.84x = 269,883.42
  5. Step 5: Solve for x
    x = 269,883.42/425.84
  6. Step 6: Final answer
    x = 633.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.