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Finding the Fourth Proportional to 553.63, 829.28 and 521.72

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Solution

The fourth proportional to 553.63, 829.28 and 521.72 is: 781.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.63 : 829.28 = 521.72 : x
  2. Step 2: Convert to fraction form
    553.63/829.28 = 521.72/x
  3. Step 3: Cross multiply
    553.63x = 829.28 × 521.72
  4. Step 4: Simplify right side
    553.63x = 432,651.96
  5. Step 5: Solve for x
    x = 432,651.96/553.63
  6. Step 6: Final answer
    x = 781.48

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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.