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Finding the Fourth Proportional to 567.71, 783.48 and 343.70

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Solution

The fourth proportional to 567.71, 783.48 and 343.70 is: 474.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.71 : 783.48 = 343.70 : x
  2. Step 2: Convert to fraction form
    567.71/783.48 = 343.70/x
  3. Step 3: Cross multiply
    567.71x = 783.48 × 343.70
  4. Step 4: Simplify right side
    567.71x = 269,282.39
  5. Step 5: Solve for x
    x = 269,282.39/567.71
  6. Step 6: Final answer
    x = 474.33

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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.