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Finding the Fourth Proportional to 556.29, 827.69 and 554.40

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Solution

The fourth proportional to 556.29, 827.69 and 554.40 is: 824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.29 : 827.69 = 554.40 : x
  2. Step 2: Convert to fraction form
    556.29/827.69 = 554.40/x
  3. Step 3: Cross multiply
    556.29x = 827.69 × 554.40
  4. Step 4: Simplify right side
    556.29x = 458,868.56
  5. Step 5: Solve for x
    x = 458,868.56/556.29
  6. Step 6: Final answer
    x = 824.87

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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.