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Finding the Fourth Proportional to 658.94, 989.28 and 522.14

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Solution

The fourth proportional to 658.94, 989.28 and 522.14 is: 783.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.94 : 989.28 = 522.14 : x
  2. Step 2: Convert to fraction form
    658.94/989.28 = 522.14/x
  3. Step 3: Cross multiply
    658.94x = 989.28 × 522.14
  4. Step 4: Simplify right side
    658.94x = 516,537.71
  5. Step 5: Solve for x
    x = 516,537.71/658.94
  6. Step 6: Final answer
    x = 783.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.