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Finding the Fourth Proportional to 558.48, 827.28 and 557.52

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Solution

The fourth proportional to 558.48, 827.28 and 557.52 is: 825.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.48 : 827.28 = 557.52 : x
  2. Step 2: Convert to fraction form
    558.48/827.28 = 557.52/x
  3. Step 3: Cross multiply
    558.48x = 827.28 × 557.52
  4. Step 4: Simplify right side
    558.48x = 461,225.15
  5. Step 5: Solve for x
    x = 461,225.15/558.48
  6. Step 6: Final answer
    x = 825.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.