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Finding the Fourth Proportional to 854.51, 1,280.95 and 778.43

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Solution

The fourth proportional to 854.51, 1,280.95 and 778.43 is: 1,166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.51 : 1,280.95 = 778.43 : x
  2. Step 2: Convert to fraction form
    854.51/1,280.95 = 778.43/x
  3. Step 3: Cross multiply
    854.51x = 1,280.95 × 778.43
  4. Step 4: Simplify right side
    854.51x = 997,131.16
  5. Step 5: Solve for x
    x = 997,131.16/854.51
  6. Step 6: Final answer
    x = 1,166.91

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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.