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Finding the Fourth Proportional to 658.03, 986.73 and 384.21

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Solution

The fourth proportional to 658.03, 986.73 and 384.21 is: 576.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.03 : 986.73 = 384.21 : x
  2. Step 2: Convert to fraction form
    658.03/986.73 = 384.21/x
  3. Step 3: Cross multiply
    658.03x = 986.73 × 384.21
  4. Step 4: Simplify right side
    658.03x = 379,109.61
  5. Step 5: Solve for x
    x = 379,109.61/658.03
  6. Step 6: Final answer
    x = 576.13

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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.