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Finding the Fourth Proportional to 567.20, 782.74 and 346.11

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Solution

The fourth proportional to 567.20, 782.74 and 346.11 is: 477.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.20 : 782.74 = 346.11 : x
  2. Step 2: Convert to fraction form
    567.20/782.74 = 346.11/x
  3. Step 3: Cross multiply
    567.20x = 782.74 × 346.11
  4. Step 4: Simplify right side
    567.20x = 270,914.14
  5. Step 5: Solve for x
    x = 270,914.14/567.20
  6. Step 6: Final answer
    x = 477.64

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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.