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Finding the Fourth Proportional to 425.00, 585.27 and 423.74

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Solution

The fourth proportional to 425.00, 585.27 and 423.74 is: 583.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.00 : 585.27 = 423.74 : x
  2. Step 2: Convert to fraction form
    425.00/585.27 = 423.74/x
  3. Step 3: Cross multiply
    425.00x = 585.27 × 423.74
  4. Step 4: Simplify right side
    425.00x = 247,999.38
  5. Step 5: Solve for x
    x = 247,999.38/425.00
  6. Step 6: Final answer
    x = 583.53

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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.