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Finding the Fourth Proportional to 567.20, 782.53 and 346.07

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Solution

The fourth proportional to 567.20, 782.53 and 346.07 is: 477.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.20 : 782.53 = 346.07 : x
  2. Step 2: Convert to fraction form
    567.20/782.53 = 346.07/x
  3. Step 3: Cross multiply
    567.20x = 782.53 × 346.07
  4. Step 4: Simplify right side
    567.20x = 270,811.25
  5. Step 5: Solve for x
    x = 270,811.25/567.20
  6. Step 6: Final answer
    x = 477.45

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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.