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Finding the Fourth Proportional to 661.77, 911.17 and 561.98

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Solution

The fourth proportional to 661.77, 911.17 and 561.98 is: 773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.77 : 911.17 = 561.98 : x
  2. Step 2: Convert to fraction form
    661.77/911.17 = 561.98/x
  3. Step 3: Cross multiply
    661.77x = 911.17 × 561.98
  4. Step 4: Simplify right side
    661.77x = 512,059.32
  5. Step 5: Solve for x
    x = 512,059.32/661.77
  6. Step 6: Final answer
    x = 773.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.