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Finding the Fourth Proportional to 653.67, 978.98 and 328.25

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Solution

The fourth proportional to 653.67, 978.98 and 328.25 is: 491.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.67 : 978.98 = 328.25 : x
  2. Step 2: Convert to fraction form
    653.67/978.98 = 328.25/x
  3. Step 3: Cross multiply
    653.67x = 978.98 × 328.25
  4. Step 4: Simplify right side
    653.67x = 321,350.19
  5. Step 5: Solve for x
    x = 321,350.19/653.67
  6. Step 6: Final answer
    x = 491.61

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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.