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Finding the Fourth Proportional to 658.36, 983.54 and 425.35

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Solution

The fourth proportional to 658.36, 983.54 and 425.35 is: 635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.36 : 983.54 = 425.35 : x
  2. Step 2: Convert to fraction form
    658.36/983.54 = 425.35/x
  3. Step 3: Cross multiply
    658.36x = 983.54 × 425.35
  4. Step 4: Simplify right side
    658.36x = 418,348.74
  5. Step 5: Solve for x
    x = 418,348.74/658.36
  6. Step 6: Final answer
    x = 635.44

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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.