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Finding the Fourth Proportional to 567.41, 783.30 and 334.49

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Solution

The fourth proportional to 567.41, 783.30 and 334.49 is: 461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.41 : 783.30 = 334.49 : x
  2. Step 2: Convert to fraction form
    567.41/783.30 = 334.49/x
  3. Step 3: Cross multiply
    567.41x = 783.30 × 334.49
  4. Step 4: Simplify right side
    567.41x = 262,006.02
  5. Step 5: Solve for x
    x = 262,006.02/567.41
  6. Step 6: Final answer
    x = 461.76

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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.