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Finding the Fourth Proportional to 567.96, 783.70 and 319.28

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Solution

The fourth proportional to 567.96, 783.70 and 319.28 is: 440.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.96 : 783.70 = 319.28 : x
  2. Step 2: Convert to fraction form
    567.96/783.70 = 319.28/x
  3. Step 3: Cross multiply
    567.96x = 783.70 × 319.28
  4. Step 4: Simplify right side
    567.96x = 250,219.74
  5. Step 5: Solve for x
    x = 250,219.74/567.96
  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.