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Finding the Fourth Proportional to 653.69, 980.12 and 345.35

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Solution

The fourth proportional to 653.69, 980.12 and 345.35 is: 517.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.69 : 980.12 = 345.35 : x
  2. Step 2: Convert to fraction form
    653.69/980.12 = 345.35/x
  3. Step 3: Cross multiply
    653.69x = 980.12 × 345.35
  4. Step 4: Simplify right side
    653.69x = 338,484.44
  5. Step 5: Solve for x
    x = 338,484.44/653.69
  6. Step 6: Final answer
    x = 517.81

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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.