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Finding the Fourth Proportional to 653.24, 902.16 and 420.50

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Solution

The fourth proportional to 653.24, 902.16 and 420.50 is: 580.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.24 : 902.16 = 420.50 : x
  2. Step 2: Convert to fraction form
    653.24/902.16 = 420.50/x
  3. Step 3: Cross multiply
    653.24x = 902.16 × 420.50
  4. Step 4: Simplify right side
    653.24x = 379,358.28
  5. Step 5: Solve for x
    x = 379,358.28/653.24
  6. Step 6: Final answer
    x = 580.73

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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.