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Finding the Fourth Proportional to 783.90, 1,081.17 and 503.82

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Solution

The fourth proportional to 783.90, 1,081.17 and 503.82 is: 694.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.90 : 1,081.17 = 503.82 : x
  2. Step 2: Convert to fraction form
    783.90/1,081.17 = 503.82/x
  3. Step 3: Cross multiply
    783.90x = 1,081.17 × 503.82
  4. Step 4: Simplify right side
    783.90x = 544,715.07
  5. Step 5: Solve for x
    x = 544,715.07/783.90
  6. Step 6: Final answer
    x = 694.88

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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.