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Finding the Fourth Proportional to 557.35, 842.35 and 547.78

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Solution

The fourth proportional to 557.35, 842.35 and 547.78 is: 827.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.35 : 842.35 = 547.78 : x
  2. Step 2: Convert to fraction form
    557.35/842.35 = 547.78/x
  3. Step 3: Cross multiply
    557.35x = 842.35 × 547.78
  4. Step 4: Simplify right side
    557.35x = 461,422.48
  5. Step 5: Solve for x
    x = 461,422.48/557.35
  6. Step 6: Final answer
    x = 827.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.