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Finding the Fourth Proportional to 850.25, 1,275.48 and 302.58

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Solution

The fourth proportional to 850.25, 1,275.48 and 302.58 is: 453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.25 : 1,275.48 = 302.58 : x
  2. Step 2: Convert to fraction form
    850.25/1,275.48 = 302.58/x
  3. Step 3: Cross multiply
    850.25x = 1,275.48 × 302.58
  4. Step 4: Simplify right side
    850.25x = 385,934.74
  5. Step 5: Solve for x
    x = 385,934.74/850.25
  6. Step 6: Final answer
    x = 453.91

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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.