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Finding the Fourth Proportional to 609.65, 913.10 and 589.14

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Solution

The fourth proportional to 609.65, 913.10 and 589.14 is: 882.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.65 : 913.10 = 589.14 : x
  2. Step 2: Convert to fraction form
    609.65/913.10 = 589.14/x
  3. Step 3: Cross multiply
    609.65x = 913.10 × 589.14
  4. Step 4: Simplify right side
    609.65x = 537,943.73
  5. Step 5: Solve for x
    x = 537,943.73/609.65
  6. Step 6: Final answer
    x = 882.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.