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Finding the Fourth Proportional to 561.96, 776.34 and 557.64

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Solution

The fourth proportional to 561.96, 776.34 and 557.64 is: 770.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.96 : 776.34 = 557.64 : x
  2. Step 2: Convert to fraction form
    561.96/776.34 = 557.64/x
  3. Step 3: Cross multiply
    561.96x = 776.34 × 557.64
  4. Step 4: Simplify right side
    561.96x = 432,918.24
  5. Step 5: Solve for x
    x = 432,918.24/561.96
  6. Step 6: Final answer
    x = 770.37

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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.