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Finding the Fourth Proportional to 561.81, 840.98 and 513.97

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Solution

The fourth proportional to 561.81, 840.98 and 513.97 is: 769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.81 : 840.98 = 513.97 : x
  2. Step 2: Convert to fraction form
    561.81/840.98 = 513.97/x
  3. Step 3: Cross multiply
    561.81x = 840.98 × 513.97
  4. Step 4: Simplify right side
    561.81x = 432,238.49
  5. Step 5: Solve for x
    x = 432,238.49/561.81
  6. Step 6: Final answer
    x = 769.37

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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.