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Finding the Fourth Proportional to 567.97, 782.79 and 489.08

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Solution

The fourth proportional to 567.97, 782.79 and 489.08 is: 674.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.97 : 782.79 = 489.08 : x
  2. Step 2: Convert to fraction form
    567.97/782.79 = 489.08/x
  3. Step 3: Cross multiply
    567.97x = 782.79 × 489.08
  4. Step 4: Simplify right side
    567.97x = 382,846.93
  5. Step 5: Solve for x
    x = 382,846.93/567.97
  6. Step 6: Final answer
    x = 674.06

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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.