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Finding the Fourth Proportional to 1,425.06, 1,966.07 and 865.76

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Solution

The fourth proportional to 1,425.06, 1,966.07 and 865.76 is: 1,194.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.06 : 1,966.07 = 865.76 : x
  2. Step 2: Convert to fraction form
    1,425.06/1,966.07 = 865.76/x
  3. Step 3: Cross multiply
    1,425.06x = 1,966.07 × 865.76
  4. Step 4: Simplify right side
    1,425.06x = 1,702,144.76
  5. Step 5: Solve for x
    x = 1,702,144.76/1,425.06
  6. Step 6: Final answer
    x = 1,194.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.