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Finding the Fourth Proportional to 653.25, 901.50 and 391.23

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Solution

The fourth proportional to 653.25, 901.50 and 391.23 is: 539.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.25 : 901.50 = 391.23 : x
  2. Step 2: Convert to fraction form
    653.25/901.50 = 391.23/x
  3. Step 3: Cross multiply
    653.25x = 901.50 × 391.23
  4. Step 4: Simplify right side
    653.25x = 352,693.85
  5. Step 5: Solve for x
    x = 352,693.85/653.25
  6. Step 6: Final answer
    x = 539.91

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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.