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Finding the Fourth Proportional to 567.91, 783.78 and 319.24

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Solution

The fourth proportional to 567.91, 783.78 and 319.24 is: 440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.91 : 783.78 = 319.24 : x
  2. Step 2: Convert to fraction form
    567.91/783.78 = 319.24/x
  3. Step 3: Cross multiply
    567.91x = 783.78 × 319.24
  4. Step 4: Simplify right side
    567.91x = 250,213.93
  5. Step 5: Solve for x
    x = 250,213.93/567.91
  6. Step 6: Final answer
    x = 440.59

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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.