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Finding the Fourth Proportional to 609.84, 845.91 and 588

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Solution

The fourth proportional to 609.84, 845.91 and 588 is: 815.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.84 : 845.91 = 588 : x
  2. Step 2: Convert to fraction form
    609.84/845.91 = 588/x
  3. Step 3: Cross multiply
    609.84x = 845.91 × 588
  4. Step 4: Simplify right side
    609.84x = 497,395.08
  5. Step 5: Solve for x
    x = 497,395.08/609.84
  6. Step 6: Final answer
    x = 815.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.