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Finding the Fourth Proportional to 854.04, 1,278.32 and 607.09

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Solution

The fourth proportional to 854.04, 1,278.32 and 607.09 is: 908.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.04 : 1,278.32 = 607.09 : x
  2. Step 2: Convert to fraction form
    854.04/1,278.32 = 607.09/x
  3. Step 3: Cross multiply
    854.04x = 1,278.32 × 607.09
  4. Step 4: Simplify right side
    854.04x = 776,055.29
  5. Step 5: Solve for x
    x = 776,055.29/854.04
  6. Step 6: Final answer
    x = 908.69

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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.