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Finding the Fourth Proportional to 567.97, 783.77 and 319.31

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Solution

The fourth proportional to 567.97, 783.77 and 319.31 is: 440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.97 : 783.77 = 319.31 : x
  2. Step 2: Convert to fraction form
    567.97/783.77 = 319.31/x
  3. Step 3: Cross multiply
    567.97x = 783.77 × 319.31
  4. Step 4: Simplify right side
    567.97x = 250,263.02
  5. Step 5: Solve for x
    x = 250,263.02/567.97
  6. Step 6: Final answer
    x = 440.63

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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.