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Finding the Fourth Proportional to 653.22, 978.36 and 446.87

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Solution

The fourth proportional to 653.22, 978.36 and 446.87 is: 669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.22 : 978.36 = 446.87 : x
  2. Step 2: Convert to fraction form
    653.22/978.36 = 446.87/x
  3. Step 3: Cross multiply
    653.22x = 978.36 × 446.87
  4. Step 4: Simplify right side
    653.22x = 437,194.84
  5. Step 5: Solve for x
    x = 437,194.84/653.22
  6. Step 6: Final answer
    x = 669.29

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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.