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Finding the Fourth Proportional to 653.54, 979.34 and 328.50

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Solution

The fourth proportional to 653.54, 979.34 and 328.50 is: 492.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.54 : 979.34 = 328.50 : x
  2. Step 2: Convert to fraction form
    653.54/979.34 = 328.50/x
  3. Step 3: Cross multiply
    653.54x = 979.34 × 328.50
  4. Step 4: Simplify right side
    653.54x = 321,711.55
  5. Step 5: Solve for x
    x = 321,711.55/653.54
  6. Step 6: Final answer
    x = 492.26

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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.