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Finding the Fourth Proportional to 567.24, 782.80 and 331.36

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Solution

The fourth proportional to 567.24, 782.80 and 331.36 is: 457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.24 : 782.80 = 331.36 : x
  2. Step 2: Convert to fraction form
    567.24/782.80 = 331.36/x
  3. Step 3: Cross multiply
    567.24x = 782.80 × 331.36
  4. Step 4: Simplify right side
    567.24x = 259,384.69
  5. Step 5: Solve for x
    x = 259,384.69/567.24
  6. Step 6: Final answer
    x = 457.28

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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.