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Finding the Fourth Proportional to 653.85, 979.95 and 345.84

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Solution

The fourth proportional to 653.85, 979.95 and 345.84 is: 518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.85 : 979.95 = 345.84 : x
  2. Step 2: Convert to fraction form
    653.85/979.95 = 345.84/x
  3. Step 3: Cross multiply
    653.85x = 979.95 × 345.84
  4. Step 4: Simplify right side
    653.85x = 338,905.91
  5. Step 5: Solve for x
    x = 338,905.91/653.85
  6. Step 6: Final answer
    x = 518.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.