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Finding the Fourth Proportional to 567.06, 782.81 and 378.31

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Solution

The fourth proportional to 567.06, 782.81 and 378.31 is: 522.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.06 : 782.81 = 378.31 : x
  2. Step 2: Convert to fraction form
    567.06/782.81 = 378.31/x
  3. Step 3: Cross multiply
    567.06x = 782.81 × 378.31
  4. Step 4: Simplify right side
    567.06x = 296,147.48
  5. Step 5: Solve for x
    x = 296,147.48/567.06
  6. Step 6: Final answer
    x = 522.25

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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.