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Finding the Fourth Proportional to 653.55, 980.99 and 345.35

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Solution

The fourth proportional to 653.55, 980.99 and 345.35 is: 518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.55 : 980.99 = 345.35 : x
  2. Step 2: Convert to fraction form
    653.55/980.99 = 345.35/x
  3. Step 3: Cross multiply
    653.55x = 980.99 × 345.35
  4. Step 4: Simplify right side
    653.55x = 338,780.85
  5. Step 5: Solve for x
    x = 338,780.85/653.55
  6. Step 6: Final answer
    x = 518.37

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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.