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Finding the Fourth Proportional to 854.19, 1,285.80 and 728.91

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Solution

The fourth proportional to 854.19, 1,285.80 and 728.91 is: 1,097.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.19 : 1,285.80 = 728.91 : x
  2. Step 2: Convert to fraction form
    854.19/1,285.80 = 728.91/x
  3. Step 3: Cross multiply
    854.19x = 1,285.80 × 728.91
  4. Step 4: Simplify right side
    854.19x = 937,232.48
  5. Step 5: Solve for x
    x = 937,232.48/854.19
  6. Step 6: Final answer
    x = 1,097.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.