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Finding the Fourth Proportional to 653.52, 902.13 and 443.61

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Solution

The fourth proportional to 653.52, 902.13 and 443.61 is: 612.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.52 : 902.13 = 443.61 : x
  2. Step 2: Convert to fraction form
    653.52/902.13 = 443.61/x
  3. Step 3: Cross multiply
    653.52x = 902.13 × 443.61
  4. Step 4: Simplify right side
    653.52x = 400,193.89
  5. Step 5: Solve for x
    x = 400,193.89/653.52
  6. Step 6: Final answer
    x = 612.37

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1.5x scale

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.