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Finding the Fourth Proportional to 425.25, 638.01 and 315.77

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Solution

The fourth proportional to 425.25, 638.01 and 315.77 is: 473.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.25 : 638.01 = 315.77 : x
  2. Step 2: Convert to fraction form
    425.25/638.01 = 315.77/x
  3. Step 3: Cross multiply
    425.25x = 638.01 × 315.77
  4. Step 4: Simplify right side
    425.25x = 201,461.23
  5. Step 5: Solve for x
    x = 201,461.23/425.25
  6. Step 6: Final answer
    x = 473.75

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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.