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Finding the Fourth Proportional to 567.90, 783.46 and 334.62

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Solution

The fourth proportional to 567.90, 783.46 and 334.62 is: 461.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.90 : 783.46 = 334.62 : x
  2. Step 2: Convert to fraction form
    567.90/783.46 = 334.62/x
  3. Step 3: Cross multiply
    567.90x = 783.46 × 334.62
  4. Step 4: Simplify right side
    567.90x = 262,156.63
  5. Step 5: Solve for x
    x = 262,156.63/567.90
  6. Step 6: Final answer
    x = 461.63

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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.