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Finding the Fourth Proportional to 588.34, 878.09 and 510.85

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Solution

The fourth proportional to 588.34, 878.09 and 510.85 is: 762.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.34 : 878.09 = 510.85 : x
  2. Step 2: Convert to fraction form
    588.34/878.09 = 510.85/x
  3. Step 3: Cross multiply
    588.34x = 878.09 × 510.85
  4. Step 4: Simplify right side
    588.34x = 448,572.28
  5. Step 5: Solve for x
    x = 448,572.28/588.34
  6. Step 6: Final answer
    x = 762.44

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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.