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Finding the Fourth Proportional to 755.07, 1,042.59 and 489.64

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Solution

The fourth proportional to 755.07, 1,042.59 and 489.64 is: 676.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.07 : 1,042.59 = 489.64 : x
  2. Step 2: Convert to fraction form
    755.07/1,042.59 = 489.64/x
  3. Step 3: Cross multiply
    755.07x = 1,042.59 × 489.64
  4. Step 4: Simplify right side
    755.07x = 510,493.77
  5. Step 5: Solve for x
    x = 510,493.77/755.07
  6. Step 6: Final answer
    x = 676.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.