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Finding the Fourth Proportional to 425.75, 587.85 and 315.50

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Solution

The fourth proportional to 425.75, 587.85 and 315.50 is: 435.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.75 : 587.85 = 315.50 : x
  2. Step 2: Convert to fraction form
    425.75/587.85 = 315.50/x
  3. Step 3: Cross multiply
    425.75x = 587.85 × 315.50
  4. Step 4: Simplify right side
    425.75x = 185,466.68
  5. Step 5: Solve for x
    x = 185,466.68/425.75
  6. Step 6: Final answer
    x = 435.62

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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.