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Finding the Fourth Proportional to 425.83, 636.57 and 381.81

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Solution

The fourth proportional to 425.83, 636.57 and 381.81 is: 570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.83 : 636.57 = 381.81 : x
  2. Step 2: Convert to fraction form
    425.83/636.57 = 381.81/x
  3. Step 3: Cross multiply
    425.83x = 636.57 × 381.81
  4. Step 4: Simplify right side
    425.83x = 243,051.42
  5. Step 5: Solve for x
    x = 243,051.42/425.83
  6. Step 6: Final answer
    x = 570.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.