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Finding the Fourth Proportional to 553.28, 826.91 and 509.49

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Solution

The fourth proportional to 553.28, 826.91 and 509.49 is: 761.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.28 : 826.91 = 509.49 : x
  2. Step 2: Convert to fraction form
    553.28/826.91 = 509.49/x
  3. Step 3: Cross multiply
    553.28x = 826.91 × 509.49
  4. Step 4: Simplify right side
    553.28x = 421,299.83
  5. Step 5: Solve for x
    x = 421,299.83/553.28
  6. Step 6: Final answer
    x = 761.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.