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Finding the Fourth Proportional to 567.94, 783.71 and 319.27

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Solution

The fourth proportional to 567.94, 783.71 and 319.27 is: 440.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.94 : 783.71 = 319.27 : x
  2. Step 2: Convert to fraction form
    567.94/783.71 = 319.27/x
  3. Step 3: Cross multiply
    567.94x = 783.71 × 319.27
  4. Step 4: Simplify right side
    567.94x = 250,213.50
  5. Step 5: Solve for x
    x = 250,213.50/567.94
  6. Step 6: Final answer
    x = 440.56

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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.