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Finding the Fourth Proportional to 851.97, 1,276.52 and 607.26

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Solution

The fourth proportional to 851.97, 1,276.52 and 607.26 is: 909.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.97 : 1,276.52 = 607.26 : x
  2. Step 2: Convert to fraction form
    851.97/1,276.52 = 607.26/x
  3. Step 3: Cross multiply
    851.97x = 1,276.52 × 607.26
  4. Step 4: Simplify right side
    851.97x = 775,176.50
  5. Step 5: Solve for x
    x = 775,176.50/851.97
  6. Step 6: Final answer
    x = 909.86

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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.