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Finding the Fourth Proportional to 553.78, 829.41 and 430.30

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Solution

The fourth proportional to 553.78, 829.41 and 430.30 is: 644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.78 : 829.41 = 430.30 : x
  2. Step 2: Convert to fraction form
    553.78/829.41 = 430.30/x
  3. Step 3: Cross multiply
    553.78x = 829.41 × 430.30
  4. Step 4: Simplify right side
    553.78x = 356,895.12
  5. Step 5: Solve for x
    x = 356,895.12/553.78
  6. Step 6: Final answer
    x = 644.47

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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.