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Finding the Fourth Proportional to 561.94, 847.06 and 513.34

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Solution

The fourth proportional to 561.94, 847.06 and 513.34 is: 773.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.94 : 847.06 = 513.34 : x
  2. Step 2: Convert to fraction form
    561.94/847.06 = 513.34/x
  3. Step 3: Cross multiply
    561.94x = 847.06 × 513.34
  4. Step 4: Simplify right side
    561.94x = 434,829.78
  5. Step 5: Solve for x
    x = 434,829.78/561.94
  6. Step 6: Final answer
    x = 773.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.