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Finding the Fourth Proportional to 653.29, 979.07 and 345.35

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Solution

The fourth proportional to 653.29, 979.07 and 345.35 is: 517.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.29 : 979.07 = 345.35 : x
  2. Step 2: Convert to fraction form
    653.29/979.07 = 345.35/x
  3. Step 3: Cross multiply
    653.29x = 979.07 × 345.35
  4. Step 4: Simplify right side
    653.29x = 338,122.55
  5. Step 5: Solve for x
    x = 338,122.55/653.29
  6. Step 6: Final answer
    x = 517.57

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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.