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Finding the Fourth Proportional to 854.07, 1,279.93 and 488.09

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Solution

The fourth proportional to 854.07, 1,279.93 and 488.09 is: 731.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.07 : 1,279.93 = 488.09 : x
  2. Step 2: Convert to fraction form
    854.07/1,279.93 = 488.09/x
  3. Step 3: Cross multiply
    854.07x = 1,279.93 × 488.09
  4. Step 4: Simplify right side
    854.07x = 624,712.19
  5. Step 5: Solve for x
    x = 624,712.19/854.07
  6. Step 6: Final answer
    x = 731.45

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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.