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Finding the Fourth Proportional to 653.16, 902.52 and 523.20

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Solution

The fourth proportional to 653.16, 902.52 and 523.20 is: 722.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.16 : 902.52 = 523.20 : x
  2. Step 2: Convert to fraction form
    653.16/902.52 = 523.20/x
  3. Step 3: Cross multiply
    653.16x = 902.52 × 523.20
  4. Step 4: Simplify right side
    653.16x = 472,198.46
  5. Step 5: Solve for x
    x = 472,198.46/653.16
  6. Step 6: Final answer
    x = 722.94

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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.