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Finding the Fourth Proportional to 850.48, 1,275.72 and 525.96

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Solution

The fourth proportional to 850.48, 1,275.72 and 525.96 is: 788.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.48 : 1,275.72 = 525.96 : x
  2. Step 2: Convert to fraction form
    850.48/1,275.72 = 525.96/x
  3. Step 3: Cross multiply
    850.48x = 1,275.72 × 525.96
  4. Step 4: Simplify right side
    850.48x = 670,977.69
  5. Step 5: Solve for x
    x = 670,977.69/850.48
  6. Step 6: Final answer
    x = 788.94

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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.