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Finding the Fourth Proportional to 567.78, 783.26 and 428.64

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Solution

The fourth proportional to 567.78, 783.26 and 428.64 is: 591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.78 : 783.26 = 428.64 : x
  2. Step 2: Convert to fraction form
    567.78/783.26 = 428.64/x
  3. Step 3: Cross multiply
    567.78x = 783.26 × 428.64
  4. Step 4: Simplify right side
    567.78x = 335,736.57
  5. Step 5: Solve for x
    x = 335,736.57/567.78
  6. Step 6: Final answer
    x = 591.31

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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.