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Finding the Fourth Proportional to 425.59, 637.32 and 271.06

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Solution

The fourth proportional to 425.59, 637.32 and 271.06 is: 405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.59 : 637.32 = 271.06 : x
  2. Step 2: Convert to fraction form
    425.59/637.32 = 271.06/x
  3. Step 3: Cross multiply
    425.59x = 637.32 × 271.06
  4. Step 4: Simplify right side
    425.59x = 172,750.37
  5. Step 5: Solve for x
    x = 172,750.37/425.59
  6. Step 6: Final answer
    x = 405.91

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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.