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Finding the Fourth Proportional to 552.56, 828.08 and 430.26

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Solution

The fourth proportional to 552.56, 828.08 and 430.26 is: 644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.56 : 828.08 = 430.26 : x
  2. Step 2: Convert to fraction form
    552.56/828.08 = 430.26/x
  3. Step 3: Cross multiply
    552.56x = 828.08 × 430.26
  4. Step 4: Simplify right side
    552.56x = 356,289.70
  5. Step 5: Solve for x
    x = 356,289.70/552.56
  6. Step 6: Final answer
    x = 644.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.