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Finding the Fourth Proportional to 783.78, 1,081.17 and 488.82

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Solution

The fourth proportional to 783.78, 1,081.17 and 488.82 is: 674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.78 : 1,081.17 = 488.82 : x
  2. Step 2: Convert to fraction form
    783.78/1,081.17 = 488.82/x
  3. Step 3: Cross multiply
    783.78x = 1,081.17 × 488.82
  4. Step 4: Simplify right side
    783.78x = 528,497.52
  5. Step 5: Solve for x
    x = 528,497.52/783.78
  6. Step 6: Final answer
    x = 674.29

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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.