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Finding the Fourth Proportional to 567.08, 782.42 and 346.12

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Solution

The fourth proportional to 567.08, 782.42 and 346.12 is: 477.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.08 : 782.42 = 346.12 : x
  2. Step 2: Convert to fraction form
    567.08/782.42 = 346.12/x
  3. Step 3: Cross multiply
    567.08x = 782.42 × 346.12
  4. Step 4: Simplify right side
    567.08x = 270,811.21
  5. Step 5: Solve for x
    x = 270,811.21/567.08
  6. Step 6: Final answer
    x = 477.55

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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.