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Finding the Fourth Proportional to 658.94, 986.42 and 505.46

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Solution

The fourth proportional to 658.94, 986.42 and 505.46 is: 756.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.94 : 986.42 = 505.46 : x
  2. Step 2: Convert to fraction form
    658.94/986.42 = 505.46/x
  3. Step 3: Cross multiply
    658.94x = 986.42 × 505.46
  4. Step 4: Simplify right side
    658.94x = 498,595.85
  5. Step 5: Solve for x
    x = 498,595.85/658.94
  6. Step 6: Final answer
    x = 756.66

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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.