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Finding the Fourth Proportional to 553.69, 828.99 and 358.91

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Solution

The fourth proportional to 553.69, 828.99 and 358.91 is: 537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.69 : 828.99 = 358.91 : x
  2. Step 2: Convert to fraction form
    553.69/828.99 = 358.91/x
  3. Step 3: Cross multiply
    553.69x = 828.99 × 358.91
  4. Step 4: Simplify right side
    553.69x = 297,534.87
  5. Step 5: Solve for x
    x = 297,534.87/553.69
  6. Step 6: Final answer
    x = 537.37

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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.