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Finding the Fourth Proportional to 851.63, 1,275.33 and 697.94

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Solution

The fourth proportional to 851.63, 1,275.33 and 697.94 is: 1,045.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.63 : 1,275.33 = 697.94 : x
  2. Step 2: Convert to fraction form
    851.63/1,275.33 = 697.94/x
  3. Step 3: Cross multiply
    851.63x = 1,275.33 × 697.94
  4. Step 4: Simplify right side
    851.63x = 890,103.82
  5. Step 5: Solve for x
    x = 890,103.82/851.63
  6. Step 6: Final answer
    x = 1,045.18

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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.