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Finding the Fourth Proportional to 561.76, 843.26 and 407.77

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Solution

The fourth proportional to 561.76, 843.26 and 407.77 is: 612.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.76 : 843.26 = 407.77 : x
  2. Step 2: Convert to fraction form
    561.76/843.26 = 407.77/x
  3. Step 3: Cross multiply
    561.76x = 843.26 × 407.77
  4. Step 4: Simplify right side
    561.76x = 343,851.98
  5. Step 5: Solve for x
    x = 343,851.98/561.76
  6. Step 6: Final answer
    x = 612.10

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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.