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Finding the Fourth Proportional to 783.86, 1,081.93 and 488.95

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Solution

The fourth proportional to 783.86, 1,081.93 and 488.95 is: 674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.86 : 1,081.93 = 488.95 : x
  2. Step 2: Convert to fraction form
    783.86/1,081.93 = 488.95/x
  3. Step 3: Cross multiply
    783.86x = 1,081.93 × 488.95
  4. Step 4: Simplify right side
    783.86x = 529,004.26
  5. Step 5: Solve for x
    x = 529,004.26/783.86
  6. Step 6: Final answer
    x = 674.88

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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.