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Finding the Fourth Proportional to 748.89, 1,122.51 and 286.47

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Solution

The fourth proportional to 748.89, 1,122.51 and 286.47 is: 429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.89 : 1,122.51 = 286.47 : x
  2. Step 2: Convert to fraction form
    748.89/1,122.51 = 286.47/x
  3. Step 3: Cross multiply
    748.89x = 1,122.51 × 286.47
  4. Step 4: Simplify right side
    748.89x = 321,566.51
  5. Step 5: Solve for x
    x = 321,566.51/748.89
  6. Step 6: Final answer
    x = 429.39

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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.