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Finding the Fourth Proportional to 856.98, 1,284.12 and 765.18

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Solution

The fourth proportional to 856.98, 1,284.12 and 765.18 is: 1,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.98 : 1,284.12 = 765.18 : x
  2. Step 2: Convert to fraction form
    856.98/1,284.12 = 765.18/x
  3. Step 3: Cross multiply
    856.98x = 1,284.12 × 765.18
  4. Step 4: Simplify right side
    856.98x = 982,582.94
  5. Step 5: Solve for x
    x = 982,582.94/856.98
  6. Step 6: Final answer
    x = 1,146.56

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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.