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Finding the Fourth Proportional to 658.96, 982.08 and 624.40

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Solution

The fourth proportional to 658.96, 982.08 and 624.40 is: 930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.96 : 982.08 = 624.40 : x
  2. Step 2: Convert to fraction form
    658.96/982.08 = 624.40/x
  3. Step 3: Cross multiply
    658.96x = 982.08 × 624.40
  4. Step 4: Simplify right side
    658.96x = 613,210.75
  5. Step 5: Solve for x
    x = 613,210.75/658.96
  6. Step 6: Final answer
    x = 930.57

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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.