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Finding the Fourth Proportional to 854.36, 1,281.54 and 488.89

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Solution

The fourth proportional to 854.36, 1,281.54 and 488.89 is: 733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.36 : 1,281.54 = 488.89 : x
  2. Step 2: Convert to fraction form
    854.36/1,281.54 = 488.89/x
  3. Step 3: Cross multiply
    854.36x = 1,281.54 × 488.89
  4. Step 4: Simplify right side
    854.36x = 626,532.09
  5. Step 5: Solve for x
    x = 626,532.09/854.36
  6. Step 6: Final answer
    x = 733.34

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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.