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Finding the Fourth Proportional to 653.66, 901.68 and 391.22

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Solution

The fourth proportional to 653.66, 901.68 and 391.22 is: 539.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.66 : 901.68 = 391.22 : x
  2. Step 2: Convert to fraction form
    653.66/901.68 = 391.22/x
  3. Step 3: Cross multiply
    653.66x = 901.68 × 391.22
  4. Step 4: Simplify right side
    653.66x = 352,755.25
  5. Step 5: Solve for x
    x = 352,755.25/653.66
  6. Step 6: Final answer
    x = 539.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.