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Finding the Fourth Proportional to 607.26, 905.78 and 589.04

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Solution

The fourth proportional to 607.26, 905.78 and 589.04 is: 878.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.26 : 905.78 = 589.04 : x
  2. Step 2: Convert to fraction form
    607.26/905.78 = 589.04/x
  3. Step 3: Cross multiply
    607.26x = 905.78 × 589.04
  4. Step 4: Simplify right side
    607.26x = 533,540.65
  5. Step 5: Solve for x
    x = 533,540.65/607.26
  6. Step 6: Final answer
    x = 878.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.