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Finding the Fourth Proportional to 567.45, 782.73 and 346.19

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Solution

The fourth proportional to 567.45, 782.73 and 346.19 is: 477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.45 : 782.73 = 346.19 : x
  2. Step 2: Convert to fraction form
    567.45/782.73 = 346.19/x
  3. Step 3: Cross multiply
    567.45x = 782.73 × 346.19
  4. Step 4: Simplify right side
    567.45x = 270,969.39
  5. Step 5: Solve for x
    x = 270,969.39/567.45
  6. Step 6: Final answer
    x = 477.52

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1.5x scale

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.