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Finding the Fourth Proportional to 561.42, 839.70 and 406.44

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Solution

The fourth proportional to 561.42, 839.70 and 406.44 is: 607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.42 : 839.70 = 406.44 : x
  2. Step 2: Convert to fraction form
    561.42/839.70 = 406.44/x
  3. Step 3: Cross multiply
    561.42x = 839.70 × 406.44
  4. Step 4: Simplify right side
    561.42x = 341,287.67
  5. Step 5: Solve for x
    x = 341,287.67/561.42
  6. Step 6: Final answer
    x = 607.90

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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.