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Finding the Fourth Proportional to 854.05, 1,278.88 and 776.16

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Solution

The fourth proportional to 854.05, 1,278.88 and 776.16 is: 1,162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.05 : 1,278.88 = 776.16 : x
  2. Step 2: Convert to fraction form
    854.05/1,278.88 = 776.16/x
  3. Step 3: Cross multiply
    854.05x = 1,278.88 × 776.16
  4. Step 4: Simplify right side
    854.05x = 992,615.50
  5. Step 5: Solve for x
    x = 992,615.50/854.05
  6. Step 6: Final answer
    x = 1,162.25

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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.