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Finding the Fourth Proportional to 658.23, 986.28 and 365.28

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Solution

The fourth proportional to 658.23, 986.28 and 365.28 is: 547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.23 : 986.28 = 365.28 : x
  2. Step 2: Convert to fraction form
    658.23/986.28 = 365.28/x
  3. Step 3: Cross multiply
    658.23x = 986.28 × 365.28
  4. Step 4: Simplify right side
    658.23x = 360,263.29
  5. Step 5: Solve for x
    x = 360,263.29/658.23
  6. Step 6: Final answer
    x = 547.32

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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.