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Finding the Fourth Proportional to 850.46, 1,275.60 and 438.53

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Solution

The fourth proportional to 850.46, 1,275.60 and 438.53 is: 657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.46 : 1,275.60 = 438.53 : x
  2. Step 2: Convert to fraction form
    850.46/1,275.60 = 438.53/x
  3. Step 3: Cross multiply
    850.46x = 1,275.60 × 438.53
  4. Step 4: Simplify right side
    850.46x = 559,388.87
  5. Step 5: Solve for x
    x = 559,388.87/850.46
  6. Step 6: Final answer
    x = 657.75

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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.