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Finding the Fourth Proportional to 605.56, 830.21 and 589.24

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Solution

The fourth proportional to 605.56, 830.21 and 589.24 is: 807.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.56 : 830.21 = 589.24 : x
  2. Step 2: Convert to fraction form
    605.56/830.21 = 589.24/x
  3. Step 3: Cross multiply
    605.56x = 830.21 × 589.24
  4. Step 4: Simplify right side
    605.56x = 489,192.94
  5. Step 5: Solve for x
    x = 489,192.94/605.56
  6. Step 6: Final answer
    x = 807.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.