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Finding the Fourth Proportional to 558.48, 839.12 and 315.26

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Solution

The fourth proportional to 558.48, 839.12 and 315.26 is: 473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.48 : 839.12 = 315.26 : x
  2. Step 2: Convert to fraction form
    558.48/839.12 = 315.26/x
  3. Step 3: Cross multiply
    558.48x = 839.12 × 315.26
  4. Step 4: Simplify right side
    558.48x = 264,540.97
  5. Step 5: Solve for x
    x = 264,540.97/558.48
  6. Step 6: Final answer
    x = 473.68

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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.