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Finding the Fourth Proportional to 558.16, 768.54 and 425.50

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Solution

The fourth proportional to 558.16, 768.54 and 425.50 is: 585.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.16 : 768.54 = 425.50 : x
  2. Step 2: Convert to fraction form
    558.16/768.54 = 425.50/x
  3. Step 3: Cross multiply
    558.16x = 768.54 × 425.50
  4. Step 4: Simplify right side
    558.16x = 327,013.77
  5. Step 5: Solve for x
    x = 327,013.77/558.16
  6. Step 6: Final answer
    x = 585.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.