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Finding the Fourth Proportional to 567.45, 782.84 and 346.38

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Solution

The fourth proportional to 567.45, 782.84 and 346.38 is: 477.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.45 : 782.84 = 346.38 : x
  2. Step 2: Convert to fraction form
    567.45/782.84 = 346.38/x
  3. Step 3: Cross multiply
    567.45x = 782.84 × 346.38
  4. Step 4: Simplify right side
    567.45x = 271,158.39
  5. Step 5: Solve for x
    x = 271,158.39/567.45
  6. Step 6: Final answer
    x = 477.85

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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.