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Finding the Fourth Proportional to 653.23, 901.20 and 420.49

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Solution

The fourth proportional to 653.23, 901.20 and 420.49 is: 580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.23 : 901.20 = 420.49 : x
  2. Step 2: Convert to fraction form
    653.23/901.20 = 420.49/x
  3. Step 3: Cross multiply
    653.23x = 901.20 × 420.49
  4. Step 4: Simplify right side
    653.23x = 378,945.59
  5. Step 5: Solve for x
    x = 378,945.59/653.23
  6. Step 6: Final answer
    x = 580.11

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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.