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Finding the Fourth Proportional to 561.56, 838.20 and 521.50

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Solution

The fourth proportional to 561.56, 838.20 and 521.50 is: 778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.56 : 838.20 = 521.50 : x
  2. Step 2: Convert to fraction form
    561.56/838.20 = 521.50/x
  3. Step 3: Cross multiply
    561.56x = 838.20 × 521.50
  4. Step 4: Simplify right side
    561.56x = 437,121.30
  5. Step 5: Solve for x
    x = 437,121.30/561.56
  6. Step 6: Final answer
    x = 778.41

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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.