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Finding the Fourth Proportional to 783.83, 1,081.71 and 429.78

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Solution

The fourth proportional to 783.83, 1,081.71 and 429.78 is: 593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.83 : 1,081.71 = 429.78 : x
  2. Step 2: Convert to fraction form
    783.83/1,081.71 = 429.78/x
  3. Step 3: Cross multiply
    783.83x = 1,081.71 × 429.78
  4. Step 4: Simplify right side
    783.83x = 464,899.55
  5. Step 5: Solve for x
    x = 464,899.55/783.83
  6. Step 6: Final answer
    x = 593.11

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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.