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Finding the Fourth Proportional to 567.15, 782.90 and 346.17

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Solution

The fourth proportional to 567.15, 782.90 and 346.17 is: 477.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.15 : 782.90 = 346.17 : x
  2. Step 2: Convert to fraction form
    567.15/782.90 = 346.17/x
  3. Step 3: Cross multiply
    567.15x = 782.90 × 346.17
  4. Step 4: Simplify right side
    567.15x = 271,014.76
  5. Step 5: Solve for x
    x = 271,014.76/567.15
  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.